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Finding the Third Proportional to 3,746,872.69 and 8,071,872.75

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Solution

The third proportional to 3,746,872.69 and 8,071,872.75 is: 17,389,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746,872.69 : 8,071,872.75 = 8,071,872.75 : x
  2. Step 2: Convert to fraction form
    3,746,872.69/8,071,872.75 = 8,071,872.75/x
  3. Step 3: Cross multiply
    3,746,872.69x = 8,071,872.75 × 8,071,872.75
  4. Step 4: Simplify right side
    3,746,872.69x = 65,155,129,692,192.56
  5. Step 5: Solve for x
    x = 65,155,129,692,192.56/3,746,872.69
  6. Step 6: Final answer
    x = 17,389,202.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.