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Finding the Third Proportional to 5,696,854,573,510.80 and 7,686,394,307,776.40

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Solution

The third proportional to 5,696,854,573,510.80 and 7,686,394,307,776.40 is: 10,370,750,506,662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696,854,573,510.80 : 7,686,394,307,776.40 = 7,686,394,307,776.40 : x
  2. Step 2: Convert to fraction form
    5,696,854,573,510.80/7,686,394,307,776.40 = 7,686,394,307,776.40/x
  3. Step 3: Cross multiply
    5,696,854,573,510.80x = 7,686,394,307,776.40 × 7,686,394,307,776.40
  4. Step 4: Simplify right side
    5,696,854,573,510.80x = 59,080,657,454,617,450,996,826,112
  5. Step 5: Solve for x
    x = 59,080,657,454,617,450,996,826,112/5,696,854,573,510.80
  6. Step 6: Final answer
    x = 10,370,750,506,662.10

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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.