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Finding the Third Proportional to 5,494,837.50 and 8,077,616.16

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Solution

The third proportional to 5,494,837.50 and 8,077,616.16 is: 11,874,397.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494,837.50 : 8,077,616.16 = 8,077,616.16 : x
  2. Step 2: Convert to fraction form
    5,494,837.50/8,077,616.16 = 8,077,616.16/x
  3. Step 3: Cross multiply
    5,494,837.50x = 8,077,616.16 × 8,077,616.16
  4. Step 4: Simplify right side
    5,494,837.50x = 65,247,882,767,711.02
  5. Step 5: Solve for x
    x = 65,247,882,767,711.02/5,494,837.50
  6. Step 6: Final answer
    x = 11,874,397.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.