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Finding the Third Proportional to 311,529,510 and 664,755,820

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Solution

The third proportional to 311,529,510 and 664,755,820 is: 1,418,486,165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,529,510 : 664,755,820 = 664,755,820 : x
  2. Step 2: Convert to fraction form
    311,529,510/664,755,820 = 664,755,820/x
  3. Step 3: Cross multiply
    311,529,510x = 664,755,820 × 664,755,820
  4. Step 4: Simplify right side
    311,529,510x = 441,900,300,223,872,384
  5. Step 5: Solve for x
    x = 441,900,300,223,872,384/311,529,510
  6. Step 6: Final answer
    x = 1,418,486,165.96

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.