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Finding the Third Proportional to 24,284,112 and 49,543,671

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Solution

The third proportional to 24,284,112 and 49,543,671 is: 101,077,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284,112 : 49,543,671 = 49,543,671 : x
  2. Step 2: Convert to fraction form
    24,284,112/49,543,671 = 49,543,671/x
  3. Step 3: Cross multiply
    24,284,112x = 49,543,671 × 49,543,671
  4. Step 4: Simplify right side
    24,284,112x = 2,454,575,336,156,241
  5. Step 5: Solve for x
    x = 2,454,575,336,156,241/24,284,112
  6. Step 6: Final answer
    x = 101,077,417.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.