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Finding the Third Proportional to 32,707,178,342 and 70,996,417,737.25

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Solution

The third proportional to 32,707,178,342 and 70,996,417,737.25 is: 154,109,635,469.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,707,178,342 : 70,996,417,737.25 = 70,996,417,737.25 : x
  2. Step 2: Convert to fraction form
    32,707,178,342/70,996,417,737.25 = 70,996,417,737.25/x
  3. Step 3: Cross multiply
    32,707,178,342x = 70,996,417,737.25 × 70,996,417,737.25
  4. Step 4: Simplify right side
    32,707,178,342x = 5,040,491,331,522,106,753,024
  5. Step 5: Solve for x
    x = 5,040,491,331,522,106,753,024/32,707,178,342
  6. Step 6: Final answer
    x = 154,109,635,469.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.