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Finding the Third Proportional to 284,926,422 and 425,712,370.50

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Solution

The third proportional to 284,926,422 and 425,712,370.50 is: 636,062,535.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,926,422 : 425,712,370.50 = 425,712,370.50 : x
  2. Step 2: Convert to fraction form
    284,926,422/425,712,370.50 = 425,712,370.50/x
  3. Step 3: Cross multiply
    284,926,422x = 425,712,370.50 × 425,712,370.50
  4. Step 4: Simplify right side
    284,926,422x = 181,231,022,396,729,280
  5. Step 5: Solve for x
    x = 181,231,022,396,729,280/284,926,422
  6. Step 6: Final answer
    x = 636,062,535.46

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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.