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Finding the Third Proportional to 36,580,620 and 53,497,674

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Solution

The third proportional to 36,580,620 and 53,497,674 is: 78,238,179.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,580,620 : 53,497,674 = 53,497,674 : x
  2. Step 2: Convert to fraction form
    36,580,620/53,497,674 = 53,497,674/x
  3. Step 3: Cross multiply
    36,580,620x = 53,497,674 × 53,497,674
  4. Step 4: Simplify right side
    36,580,620x = 2,862,001,123,410,276
  5. Step 5: Solve for x
    x = 2,862,001,123,410,276/36,580,620
  6. Step 6: Final answer
    x = 78,238,179.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.