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Finding the Third Proportional to 14,982,464 and 22,432,683

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Solution

The third proportional to 14,982,464 and 22,432,683 is: 33,587,617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,982,464 : 22,432,683 = 22,432,683 : x
  2. Step 2: Convert to fraction form
    14,982,464/22,432,683 = 22,432,683/x
  3. Step 3: Cross multiply
    14,982,464x = 22,432,683 × 22,432,683
  4. Step 4: Simplify right side
    14,982,464x = 503,225,266,578,489
  5. Step 5: Solve for x
    x = 503,225,266,578,489/14,982,464
  6. Step 6: Final answer
    x = 33,587,617.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.