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Finding the Third Proportional to 63,782,361,907 and 136,662,406,751

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Solution

The third proportional to 63,782,361,907 and 136,662,406,751 is: 292,817,839,612.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,782,361,907 : 136,662,406,751 = 136,662,406,751 : x
  2. Step 2: Convert to fraction form
    63,782,361,907/136,662,406,751 = 136,662,406,751/x
  3. Step 3: Cross multiply
    63,782,361,907x = 136,662,406,751 × 136,662,406,751
  4. Step 4: Simplify right side
    63,782,361,907x = 18,676,613,418,975,770,968,064
  5. Step 5: Solve for x
    x = 18,676,613,418,975,770,968,064/63,782,361,907
  6. Step 6: Final answer
    x = 292,817,839,612.27

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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.