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Finding the Third Proportional to 37,175,716 and 80,527,518

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Solution

The third proportional to 37,175,716 and 80,527,518 is: 174,433,255.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,175,716 : 80,527,518 = 80,527,518 : x
  2. Step 2: Convert to fraction form
    37,175,716/80,527,518 = 80,527,518/x
  3. Step 3: Cross multiply
    37,175,716x = 80,527,518 × 80,527,518
  4. Step 4: Simplify right side
    37,175,716x = 6,484,681,155,240,324
  5. Step 5: Solve for x
    x = 6,484,681,155,240,324/37,175,716
  6. Step 6: Final answer
    x = 174,433,255.17

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Why These Related Problems?

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