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Finding the Third Proportional to 9,347,834 and 14,789,267

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Solution

The third proportional to 9,347,834 and 14,789,267 is: 23,398,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347,834 : 14,789,267 = 14,789,267 : x
  2. Step 2: Convert to fraction form
    9,347,834/14,789,267 = 14,789,267/x
  3. Step 3: Cross multiply
    9,347,834x = 14,789,267 × 14,789,267
  4. Step 4: Simplify right side
    9,347,834x = 218,722,418,397,289
  5. Step 5: Solve for x
    x = 218,722,418,397,289/9,347,834
  6. Step 6: Final answer
    x = 23,398,192.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.