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Finding the Third Proportional to 5,696,854,573,514.40 and 7,686,394,307,783.10

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Solution

The third proportional to 5,696,854,573,514.40 and 7,686,394,307,783.10 is: 10,370,750,506,673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696,854,573,514.40 : 7,686,394,307,783.10 = 7,686,394,307,783.10 : x
  2. Step 2: Convert to fraction form
    5,696,854,573,514.40/7,686,394,307,783.10 = 7,686,394,307,783.10/x
  3. Step 3: Cross multiply
    5,696,854,573,514.40x = 7,686,394,307,783.10 × 7,686,394,307,783.10
  4. Step 4: Simplify right side
    5,696,854,573,514.40x = 59,080,657,454,720,435,722,649,600
  5. Step 5: Solve for x
    x = 59,080,657,454,720,435,722,649,600/5,696,854,573,514.40
  6. Step 6: Final answer
    x = 10,370,750,506,673.63

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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.