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Finding the Third Proportional to 5,747,577.75 and 9,578,908.13

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Solution

The third proportional to 5,747,577.75 and 9,578,908.13 is: 15,964,200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747,577.75 : 9,578,908.13 = 9,578,908.13 : x
  2. Step 2: Convert to fraction form
    5,747,577.75/9,578,908.13 = 9,578,908.13/x
  3. Step 3: Cross multiply
    5,747,577.75x = 9,578,908.13 × 9,578,908.13
  4. Step 4: Simplify right side
    5,747,577.75x = 91,755,480,867,191.02
  5. Step 5: Solve for x
    x = 91,755,480,867,191.02/5,747,577.75
  6. Step 6: Final answer
    x = 15,964,200.03

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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.