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Finding the Third Proportional to 36,526,701 and 54,838,098

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Solution

The third proportional to 36,526,701 and 54,838,098 is: 82,329,279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,526,701 : 54,838,098 = 54,838,098 : x
  2. Step 2: Convert to fraction form
    36,526,701/54,838,098 = 54,838,098/x
  3. Step 3: Cross multiply
    36,526,701x = 54,838,098 × 54,838,098
  4. Step 4: Simplify right side
    36,526,701x = 3,007,216,992,257,604
  5. Step 5: Solve for x
    x = 3,007,216,992,257,604/36,526,701
  6. Step 6: Final answer
    x = 82,329,279.95

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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.