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Finding the Third Proportional to 5,696,854,573,513.80 and 7,686,394,307,779.80

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Solution

The third proportional to 5,696,854,573,513.80 and 7,686,394,307,779.80 is: 10,370,750,506,665.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696,854,573,513.80 : 7,686,394,307,779.80 = 7,686,394,307,779.80 : x
  2. Step 2: Convert to fraction form
    5,696,854,573,513.80/7,686,394,307,779.80 = 7,686,394,307,779.80/x
  3. Step 3: Cross multiply
    5,696,854,573,513.80x = 7,686,394,307,779.80 × 7,686,394,307,779.80
  4. Step 4: Simplify right side
    5,696,854,573,513.80x = 59,080,657,454,669,703,568,949,248
  5. Step 5: Solve for x
    x = 59,080,657,454,669,703,568,949,248/5,696,854,573,513.80
  6. Step 6: Final answer
    x = 10,370,750,506,665.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.