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Finding the Third Proportional to 3,967,240.78 and 8,102,602.13

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Solution

The third proportional to 3,967,240.78 and 8,102,602.13 is: 16,548,569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967,240.78 : 8,102,602.13 = 8,102,602.13 : x
  2. Step 2: Convert to fraction form
    3,967,240.78/8,102,602.13 = 8,102,602.13/x
  3. Step 3: Cross multiply
    3,967,240.78x = 8,102,602.13 × 8,102,602.13
  4. Step 4: Simplify right side
    3,967,240.78x = 65,652,161,196,054.52
  5. Step 5: Solve for x
    x = 65,652,161,196,054.52/3,967,240.78
  6. Step 6: Final answer
    x = 16,548,569.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.