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Finding the Third Proportional to 284,926,596 and 425,712,612

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Solution

The third proportional to 284,926,596 and 425,712,612 is: 636,062,868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,926,596 : 425,712,612 = 425,712,612 : x
  2. Step 2: Convert to fraction form
    284,926,596/425,712,612 = 425,712,612/x
  3. Step 3: Cross multiply
    284,926,596x = 425,712,612 × 425,712,612
  4. Step 4: Simplify right side
    284,926,596x = 181,231,228,015,862,528
  5. Step 5: Solve for x
    x = 181,231,228,015,862,528/284,926,596
  6. Step 6: Final answer
    x = 636,062,868.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.