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Finding the Third Proportional to 37,225,766 and 55,878,015

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Solution

The third proportional to 37,225,766 and 55,878,015 is: 83,876,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,225,766 : 55,878,015 = 55,878,015 : x
  2. Step 2: Convert to fraction form
    37,225,766/55,878,015 = 55,878,015/x
  3. Step 3: Cross multiply
    37,225,766x = 55,878,015 × 55,878,015
  4. Step 4: Simplify right side
    37,225,766x = 3,122,352,560,340,225
  5. Step 5: Solve for x
    x = 3,122,352,560,340,225/37,225,766
  6. Step 6: Final answer
    x = 83,876,113.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.