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Finding the Third Proportional to 37,156,605.75 and 77,701,147.50

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Solution

The third proportional to 37,156,605.75 and 77,701,147.50 is: 162,487,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,156,605.75 : 77,701,147.50 = 77,701,147.50 : x
  2. Step 2: Convert to fraction form
    37,156,605.75/77,701,147.50 = 77,701,147.50/x
  3. Step 3: Cross multiply
    37,156,605.75x = 77,701,147.50 × 77,701,147.50
  4. Step 4: Simplify right side
    37,156,605.75x = 6,037,468,322,816,756
  5. Step 5: Solve for x
    x = 6,037,468,322,816,756/37,156,605.75
  6. Step 6: Final answer
    x = 162,487,078.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.