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Finding the Third Proportional to 10,258,084 and 22,218,439

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Solution

The third proportional to 10,258,084 and 22,218,439 is: 48,123,902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258,084 : 22,218,439 = 22,218,439 : x
  2. Step 2: Convert to fraction form
    10,258,084/22,218,439 = 22,218,439/x
  3. Step 3: Cross multiply
    10,258,084x = 22,218,439 × 22,218,439
  4. Step 4: Simplify right side
    10,258,084x = 493,659,031,596,721
  5. Step 5: Solve for x
    x = 493,659,031,596,721/10,258,084
  6. Step 6: Final answer
    x = 48,123,902.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.