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Finding the Third Proportional to 63,782,361,906 and 136,662,406,748.62

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Solution

The third proportional to 63,782,361,906 and 136,662,406,748.62 is: 292,817,839,606.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,782,361,906 : 136,662,406,748.62 = 136,662,406,748.62 : x
  2. Step 2: Convert to fraction form
    63,782,361,906/136,662,406,748.62 = 136,662,406,748.62/x
  3. Step 3: Cross multiply
    63,782,361,906x = 136,662,406,748.62 × 136,662,406,748.62
  4. Step 4: Simplify right side
    63,782,361,906x = 18,676,613,418,325,255,389,184
  5. Step 5: Solve for x
    x = 18,676,613,418,325,255,389,184/63,782,361,906
  6. Step 6: Final answer
    x = 292,817,839,606.66

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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.