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Finding the Third Proportional to 9,899,834 and 15,752,739

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Solution

The third proportional to 9,899,834 and 15,752,739 is: 25,065,954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899,834 : 15,752,739 = 15,752,739 : x
  2. Step 2: Convert to fraction form
    9,899,834/15,752,739 = 15,752,739/x
  3. Step 3: Cross multiply
    9,899,834x = 15,752,739 × 15,752,739
  4. Step 4: Simplify right side
    9,899,834x = 248,148,786,002,121
  5. Step 5: Solve for x
    x = 248,148,786,002,121/9,899,834
  6. Step 6: Final answer
    x = 25,065,954.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.