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Finding the Third Proportional to 63,782,361,909 and 136,662,406,755

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Solution

The third proportional to 63,782,361,909 and 136,662,406,755 is: 292,817,839,620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,782,361,909 : 136,662,406,755 = 136,662,406,755 : x
  2. Step 2: Convert to fraction form
    63,782,361,909/136,662,406,755 = 136,662,406,755/x
  3. Step 3: Cross multiply
    63,782,361,909x = 136,662,406,755 × 136,662,406,755
  4. Step 4: Simplify right side
    63,782,361,909x = 18,676,613,420,069,068,734,464
  5. Step 5: Solve for x
    x = 18,676,613,420,069,068,734,464/63,782,361,909
  6. Step 6: Final answer
    x = 292,817,839,620.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.