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Finding the Third Proportional to 36,698,470 and 55,044,141

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Solution

The third proportional to 36,698,470 and 55,044,141 is: 82,560,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,698,470 : 55,044,141 = 55,044,141 : x
  2. Step 2: Convert to fraction form
    36,698,470/55,044,141 = 55,044,141/x
  3. Step 3: Cross multiply
    36,698,470x = 55,044,141 × 55,044,141
  4. Step 4: Simplify right side
    36,698,470x = 3,029,857,458,427,881
  5. Step 5: Solve for x
    x = 3,029,857,458,427,881/36,698,470
  6. Step 6: Final answer
    x = 82,560,865.85

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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.