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Finding the Third Proportional to 22,432,814 and 48,802,229

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Solution

The third proportional to 22,432,814 and 48,802,229 is: 106,168,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432,814 : 48,802,229 = 48,802,229 : x
  2. Step 2: Convert to fraction form
    22,432,814/48,802,229 = 48,802,229/x
  3. Step 3: Cross multiply
    22,432,814x = 48,802,229 × 48,802,229
  4. Step 4: Simplify right side
    22,432,814x = 2,381,657,555,368,441
  5. Step 5: Solve for x
    x = 2,381,657,555,368,441/22,432,814
  6. Step 6: Final answer
    x = 106,168,470.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.