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Finding the Third Proportional to 19,025,711 and 29,412,911

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Solution

The third proportional to 19,025,711 and 29,412,911 is: 45,471,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,025,711 : 29,412,911 = 29,412,911 : x
  2. Step 2: Convert to fraction form
    19,025,711/29,412,911 = 29,412,911/x
  3. Step 3: Cross multiply
    19,025,711x = 29,412,911 × 29,412,911
  4. Step 4: Simplify right side
    19,025,711x = 865,119,333,493,921
  5. Step 5: Solve for x
    x = 865,119,333,493,921/19,025,711
  6. Step 6: Final answer
    x = 45,471,064.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.