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Finding the Third Proportional to 17,731,899 and 38,292,966

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Solution

The third proportional to 17,731,899 and 38,292,966 is: 82,695,668.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,731,899 : 38,292,966 = 38,292,966 : x
  2. Step 2: Convert to fraction form
    17,731,899/38,292,966 = 38,292,966/x
  3. Step 3: Cross multiply
    17,731,899x = 38,292,966 × 38,292,966
  4. Step 4: Simplify right side
    17,731,899x = 1,466,351,245,077,156
  5. Step 5: Solve for x
    x = 1,466,351,245,077,156/17,731,899
  6. Step 6: Final answer
    x = 82,695,668.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.