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Finding the Third Proportional to 292,445,024 and 454,285,982

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Solution

The third proportional to 292,445,024 and 454,285,982 is: 705,690,767.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,445,024 : 454,285,982 = 454,285,982 : x
  2. Step 2: Convert to fraction form
    292,445,024/454,285,982 = 454,285,982/x
  3. Step 3: Cross multiply
    292,445,024x = 454,285,982 × 454,285,982
  4. Step 4: Simplify right side
    292,445,024x = 206,375,753,441,704,320
  5. Step 5: Solve for x
    x = 206,375,753,441,704,320/292,445,024
  6. Step 6: Final answer
    x = 705,690,767.51

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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.