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Finding the Third Proportional to 9,700,728.75 and 15,217,561.69

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Solution

The third proportional to 9,700,728.75 and 15,217,561.69 is: 23,871,833.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700,728.75 : 15,217,561.69 = 15,217,561.69 : x
  2. Step 2: Convert to fraction form
    9,700,728.75/15,217,561.69 = 15,217,561.69/x
  3. Step 3: Cross multiply
    9,700,728.75x = 15,217,561.69 × 15,217,561.69
  4. Step 4: Simplify right side
    9,700,728.75x = 231,574,183,712,867.84
  5. Step 5: Solve for x
    x = 231,574,183,712,867.84/9,700,728.75
  6. Step 6: Final answer
    x = 23,871,833.72

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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.