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Finding the Third Proportional to 5,747,571 and 9,578,901.75

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Solution

The third proportional to 5,747,571 and 9,578,901.75 is: 15,964,197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747,571 : 9,578,901.75 = 9,578,901.75 : x
  2. Step 2: Convert to fraction form
    5,747,571/9,578,901.75 = 9,578,901.75/x
  3. Step 3: Cross multiply
    5,747,571x = 9,578,901.75 × 9,578,901.75
  4. Step 4: Simplify right side
    5,747,571x = 91,755,358,736,153.06
  5. Step 5: Solve for x
    x = 91,755,358,736,153.06/5,747,571
  6. Step 6: Final answer
    x = 15,964,197.53

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.