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Finding the Third Proportional to 37,225,845 and 55,878,120

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Solution

The third proportional to 37,225,845 and 55,878,120 is: 83,876,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,225,845 : 55,878,120 = 55,878,120 : x
  2. Step 2: Convert to fraction form
    37,225,845/55,878,120 = 55,878,120/x
  3. Step 3: Cross multiply
    37,225,845x = 55,878,120 × 55,878,120
  4. Step 4: Simplify right side
    37,225,845x = 3,122,364,294,734,400
  5. Step 5: Solve for x
    x = 3,122,364,294,734,400/37,225,845
  6. Step 6: Final answer
    x = 83,876,250.35

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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.