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Finding the Third Proportional to 5,747,407.50 and 9,578,612.25

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Solution

The third proportional to 5,747,407.50 and 9,578,612.25 is: 15,963,686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747,407.50 : 9,578,612.25 = 9,578,612.25 : x
  2. Step 2: Convert to fraction form
    5,747,407.50/9,578,612.25 = 9,578,612.25/x
  3. Step 3: Cross multiply
    5,747,407.50x = 9,578,612.25 × 9,578,612.25
  4. Step 4: Simplify right side
    5,747,407.50x = 91,749,812,635,850.06
  5. Step 5: Solve for x
    x = 91,749,812,635,850.06/5,747,407.50
  6. Step 6: Final answer
    x = 15,963,686.69

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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.