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Finding the Third Proportional to 27,761,799 and 41,479,402.50

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Solution

The third proportional to 27,761,799 and 41,479,402.50 is: 61,975,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761,799 : 41,479,402.50 = 41,479,402.50 : x
  2. Step 2: Convert to fraction form
    27,761,799/41,479,402.50 = 41,479,402.50/x
  3. Step 3: Cross multiply
    27,761,799x = 41,479,402.50 × 41,479,402.50
  4. Step 4: Simplify right side
    27,761,799x = 1,720,540,831,757,006.25
  5. Step 5: Solve for x
    x = 1,720,540,831,757,006.25/27,761,799
  6. Step 6: Final answer
    x = 61,975,120.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.