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Finding the Third Proportional to 10,165,703.50 and 22,349,217

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Solution

The third proportional to 10,165,703.50 and 22,349,217 is: 49,134,572.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165,703.50 : 22,349,217 = 22,349,217 : x
  2. Step 2: Convert to fraction form
    10,165,703.50/22,349,217 = 22,349,217/x
  3. Step 3: Cross multiply
    10,165,703.50x = 22,349,217 × 22,349,217
  4. Step 4: Simplify right side
    10,165,703.50x = 499,487,500,513,089
  5. Step 5: Solve for x
    x = 499,487,500,513,089/10,165,703.50
  6. Step 6: Final answer
    x = 49,134,572.98

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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.