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Finding the Third Proportional to 41,670,772 and 89,741,828

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Solution

The third proportional to 41,670,772 and 89,741,828 is: 193,267,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,670,772 : 89,741,828 = 89,741,828 : x
  2. Step 2: Convert to fraction form
    41,670,772/89,741,828 = 89,741,828/x
  3. Step 3: Cross multiply
    41,670,772x = 89,741,828 × 89,741,828
  4. Step 4: Simplify right side
    41,670,772x = 8,053,595,692,781,584
  5. Step 5: Solve for x
    x = 8,053,595,692,781,584/41,670,772
  6. Step 6: Final answer
    x = 193,267,254.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.