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Finding the Third Proportional to 32,691,534 and 71,129,256

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Solution

The third proportional to 32,691,534 and 71,129,256 is: 154,760,894.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,691,534 : 71,129,256 = 71,129,256 : x
  2. Step 2: Convert to fraction form
    32,691,534/71,129,256 = 71,129,256/x
  3. Step 3: Cross multiply
    32,691,534x = 71,129,256 × 71,129,256
  4. Step 4: Simplify right side
    32,691,534x = 5,059,371,059,113,536
  5. Step 5: Solve for x
    x = 5,059,371,059,113,536/32,691,534
  6. Step 6: Final answer
    x = 154,760,894.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.