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Finding the Third Proportional to 4,172,941.13 and 8,794,213.88

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Solution

The third proportional to 4,172,941.13 and 8,794,213.88 is: 18,533,258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172,941.13 : 8,794,213.88 = 8,794,213.88 : x
  2. Step 2: Convert to fraction form
    4,172,941.13/8,794,213.88 = 8,794,213.88/x
  3. Step 3: Cross multiply
    4,172,941.13x = 8,794,213.88 × 8,794,213.88
  4. Step 4: Simplify right side
    4,172,941.13x = 77,338,197,679,242.52
  5. Step 5: Solve for x
    x = 77,338,197,679,242.52/4,172,941.13
  6. Step 6: Final answer
    x = 18,533,258.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.