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Finding the Third Proportional to 10,221,310.69 and 22,516,626.38

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Solution

The third proportional to 10,221,310.69 and 22,516,626.38 is: 49,602,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221,310.69 : 22,516,626.38 = 22,516,626.38 : x
  2. Step 2: Convert to fraction form
    10,221,310.69/22,516,626.38 = 22,516,626.38/x
  3. Step 3: Cross multiply
    10,221,310.69x = 22,516,626.38 × 22,516,626.38
  4. Step 4: Simplify right side
    10,221,310.69x = 506,998,463,311,345.62
  5. Step 5: Solve for x
    x = 506,998,463,311,345.62/10,221,310.69
  6. Step 6: Final answer
    x = 49,602,098.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.