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Finding the Third Proportional to 9,625,722 and 14,440,446

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Solution

The third proportional to 9,625,722 and 14,440,446 is: 21,663,463.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625,722 : 14,440,446 = 14,440,446 : x
  2. Step 2: Convert to fraction form
    9,625,722/14,440,446 = 14,440,446/x
  3. Step 3: Cross multiply
    9,625,722x = 14,440,446 × 14,440,446
  4. Step 4: Simplify right side
    9,625,722x = 208,526,480,678,916
  5. Step 5: Solve for x
    x = 208,526,480,678,916/9,625,722
  6. Step 6: Final answer
    x = 21,663,463.86

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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.