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Finding the Third Proportional to 9,753,177.09 and 15,188,210.02

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Solution

The third proportional to 9,753,177.09 and 15,188,210.02 is: 23,651,956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753,177.09 : 15,188,210.02 = 15,188,210.02 : x
  2. Step 2: Convert to fraction form
    9,753,177.09/15,188,210.02 = 15,188,210.02/x
  3. Step 3: Cross multiply
    9,753,177.09x = 15,188,210.02 × 15,188,210.02
  4. Step 4: Simplify right side
    9,753,177.09x = 230,681,723,478,731.56
  5. Step 5: Solve for x
    x = 230,681,723,478,731.56/9,753,177.09
  6. Step 6: Final answer
    x = 23,651,956.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.