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Finding the Third Proportional to 187,592,738 and 413,350,624

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Solution

The third proportional to 187,592,738 and 413,350,624 is: 910,796,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,592,738 : 413,350,624 = 413,350,624 : x
  2. Step 2: Convert to fraction form
    187,592,738/413,350,624 = 413,350,624/x
  3. Step 3: Cross multiply
    187,592,738x = 413,350,624 × 413,350,624
  4. Step 4: Simplify right side
    187,592,738x = 170,858,738,361,189,376
  5. Step 5: Solve for x
    x = 170,858,738,361,189,376/187,592,738
  6. Step 6: Final answer
    x = 910,796,122.40

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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.