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Finding the Third Proportional to 31,284,228 and 45,806,413

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Solution

The third proportional to 31,284,228 and 45,806,413 is: 67,069,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,284,228 : 45,806,413 = 45,806,413 : x
  2. Step 2: Convert to fraction form
    31,284,228/45,806,413 = 45,806,413/x
  3. Step 3: Cross multiply
    31,284,228x = 45,806,413 × 45,806,413
  4. Step 4: Simplify right side
    31,284,228x = 2,098,227,471,926,569
  5. Step 5: Solve for x
    x = 2,098,227,471,926,569/31,284,228
  6. Step 6: Final answer
    x = 67,069,817.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.