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Finding the Third Proportional to 75,613,894 and 114,116,397

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Solution

The third proportional to 75,613,894 and 114,116,397 is: 172,224,327.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,613,894 : 114,116,397 = 114,116,397 : x
  2. Step 2: Convert to fraction form
    75,613,894/114,116,397 = 114,116,397/x
  3. Step 3: Cross multiply
    75,613,894x = 114,116,397 × 114,116,397
  4. Step 4: Simplify right side
    75,613,894x = 13,022,552,064,261,608
  5. Step 5: Solve for x
    x = 13,022,552,064,261,608/75,613,894
  6. Step 6: Final answer
    x = 172,224,327.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.