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Finding the Third Proportional to 22,002,694 and 47,791,827

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Solution

The third proportional to 22,002,694 and 47,791,827 is: 103,808,139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002,694 : 47,791,827 = 47,791,827 : x
  2. Step 2: Convert to fraction form
    22,002,694/47,791,827 = 47,791,827/x
  3. Step 3: Cross multiply
    22,002,694x = 47,791,827 × 47,791,827
  4. Step 4: Simplify right side
    22,002,694x = 2,284,058,727,997,929
  5. Step 5: Solve for x
    x = 2,284,058,727,997,929/22,002,694
  6. Step 6: Final answer
    x = 103,808,139.49

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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.