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Finding the Third Proportional to 32,427,909 and 70,839,451.13

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Solution

The third proportional to 32,427,909 and 70,839,451.13 is: 154,750,275.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,427,909 : 70,839,451.13 = 70,839,451.13 : x
  2. Step 2: Convert to fraction form
    32,427,909/70,839,451.13 = 70,839,451.13/x
  3. Step 3: Cross multiply
    32,427,909x = 70,839,451.13 × 70,839,451.13
  4. Step 4: Simplify right side
    32,427,909x = 5,018,227,835,691,264
  5. Step 5: Solve for x
    x = 5,018,227,835,691,264/32,427,909
  6. Step 6: Final answer
    x = 154,750,275.01

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Why These Related Problems?

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