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Finding the Third Proportional to 10,057,516 and 22,391,415

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Solution

The third proportional to 10,057,516 and 22,391,415 is: 49,850,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057,516 : 22,391,415 = 22,391,415 : x
  2. Step 2: Convert to fraction form
    10,057,516/22,391,415 = 22,391,415/x
  3. Step 3: Cross multiply
    10,057,516x = 22,391,415 × 22,391,415
  4. Step 4: Simplify right side
    10,057,516x = 501,375,465,702,225
  5. Step 5: Solve for x
    x = 501,375,465,702,225/10,057,516
  6. Step 6: Final answer
    x = 49,850,824.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.