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Finding the Third Proportional to 10,221,432 and 22,516,866

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Solution

The third proportional to 10,221,432 and 22,516,866 is: 49,602,565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221,432 : 22,516,866 = 22,516,866 : x
  2. Step 2: Convert to fraction form
    10,221,432/22,516,866 = 22,516,866/x
  3. Step 3: Cross multiply
    10,221,432x = 22,516,866 × 22,516,866
  4. Step 4: Simplify right side
    10,221,432x = 507,009,254,461,956
  5. Step 5: Solve for x
    x = 507,009,254,461,956/10,221,432
  6. Step 6: Final answer
    x = 49,602,565.91

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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.