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Finding the Third Proportional to 15,313,647.38 and 32,046,931.13

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Solution

The third proportional to 15,313,647.38 and 32,046,931.13 is: 67,064,740.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,313,647.38 : 32,046,931.13 = 32,046,931.13 : x
  2. Step 2: Convert to fraction form
    15,313,647.38/32,046,931.13 = 32,046,931.13/x
  3. Step 3: Cross multiply
    15,313,647.38x = 32,046,931.13 × 32,046,931.13
  4. Step 4: Simplify right side
    15,313,647.38x = 1,027,005,794,530,493.75
  5. Step 5: Solve for x
    x = 1,027,005,794,530,493.75/15,313,647.38
  6. Step 6: Final answer
    x = 67,064,740.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.