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Finding the Third Proportional to 37,175,746.50 and 80,527,574.25

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Solution

The third proportional to 37,175,746.50 and 80,527,574.25 is: 174,433,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,175,746.50 : 80,527,574.25 = 80,527,574.25 : x
  2. Step 2: Convert to fraction form
    37,175,746.50/80,527,574.25 = 80,527,574.25/x
  3. Step 3: Cross multiply
    37,175,746.50x = 80,527,574.25 × 80,527,574.25
  4. Step 4: Simplify right side
    37,175,746.50x = 6,484,690,214,589,263
  5. Step 5: Solve for x
    x = 6,484,690,214,589,263/37,175,746.50
  6. Step 6: Final answer
    x = 174,433,355.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.