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Finding the Third Proportional to 22,432,918 and 48,694,407

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Solution

The third proportional to 22,432,918 and 48,694,407 is: 105,699,368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432,918 : 48,694,407 = 48,694,407 : x
  2. Step 2: Convert to fraction form
    22,432,918/48,694,407 = 48,694,407/x
  3. Step 3: Cross multiply
    22,432,918x = 48,694,407 × 48,694,407
  4. Step 4: Simplify right side
    22,432,918x = 2,371,145,273,081,649
  5. Step 5: Solve for x
    x = 2,371,145,273,081,649/22,432,918
  6. Step 6: Final answer
    x = 105,699,368.81

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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.