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Finding the Third Proportional to 9,868,486 and 14,802,727

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Solution

The third proportional to 9,868,486 and 14,802,727 is: 22,204,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868,486 : 14,802,727 = 14,802,727 : x
  2. Step 2: Convert to fraction form
    9,868,486/14,802,727 = 14,802,727/x
  3. Step 3: Cross multiply
    9,868,486x = 14,802,727 × 14,802,727
  4. Step 4: Simplify right side
    9,868,486x = 219,120,726,636,529
  5. Step 5: Solve for x
    x = 219,120,726,636,529/9,868,486
  6. Step 6: Final answer
    x = 22,204,087.50

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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.