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Finding the Third Proportional to 32,465,714.50 and 71,424,495

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Solution

The third proportional to 32,465,714.50 and 71,424,495 is: 157,133,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,465,714.50 : 71,424,495 = 71,424,495 : x
  2. Step 2: Convert to fraction form
    32,465,714.50/71,424,495 = 71,424,495/x
  3. Step 3: Cross multiply
    32,465,714.50x = 71,424,495 × 71,424,495
  4. Step 4: Simplify right side
    32,465,714.50x = 5,101,458,486,005,025
  5. Step 5: Solve for x
    x = 5,101,458,486,005,025/32,465,714.50
  6. Step 6: Final answer
    x = 157,133,719.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.