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Finding the Third Proportional to 22,399,676 and 47,869,894

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Solution

The third proportional to 22,399,676 and 47,869,894 is: 102,301,781.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,399,676 : 47,869,894 = 47,869,894 : x
  2. Step 2: Convert to fraction form
    22,399,676/47,869,894 = 47,869,894/x
  3. Step 3: Cross multiply
    22,399,676x = 47,869,894 × 47,869,894
  4. Step 4: Simplify right side
    22,399,676x = 2,291,526,751,571,236
  5. Step 5: Solve for x
    x = 2,291,526,751,571,236/22,399,676
  6. Step 6: Final answer
    x = 102,301,781.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.