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Finding the Third Proportional to 9,868,489 and 14,802,733

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Solution

The third proportional to 9,868,489 and 14,802,733 is: 22,204,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868,489 : 14,802,733 = 14,802,733 : x
  2. Step 2: Convert to fraction form
    9,868,489/14,802,733 = 14,802,733/x
  3. Step 3: Cross multiply
    9,868,489x = 14,802,733 × 14,802,733
  4. Step 4: Simplify right side
    9,868,489x = 219,120,904,269,289
  5. Step 5: Solve for x
    x = 219,120,904,269,289/9,868,489
  6. Step 6: Final answer
    x = 22,204,098.75

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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.