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Finding the Third Proportional to 9,700,800 and 15,217,668

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Solution

The third proportional to 9,700,800 and 15,217,668 is: 23,871,991.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700,800 : 15,217,668 = 15,217,668 : x
  2. Step 2: Convert to fraction form
    9,700,800/15,217,668 = 15,217,668/x
  3. Step 3: Cross multiply
    9,700,800x = 15,217,668 × 15,217,668
  4. Step 4: Simplify right side
    9,700,800x = 231,577,419,358,224
  5. Step 5: Solve for x
    x = 231,577,419,358,224/9,700,800
  6. Step 6: Final answer
    x = 23,871,991.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.