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Finding the Third Proportional to 22,002,670 and 47,791,794

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Solution

The third proportional to 22,002,670 and 47,791,794 is: 103,808,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002,670 : 47,791,794 = 47,791,794 : x
  2. Step 2: Convert to fraction form
    22,002,670/47,791,794 = 47,791,794/x
  3. Step 3: Cross multiply
    22,002,670x = 47,791,794 × 47,791,794
  4. Step 4: Simplify right side
    22,002,670x = 2,284,055,573,738,436
  5. Step 5: Solve for x
    x = 2,284,055,573,738,436/22,002,670
  6. Step 6: Final answer
    x = 103,808,109.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.