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Finding the Third Proportional to 37,175,468 and 80,527,024

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Solution

The third proportional to 37,175,468 and 80,527,024 is: 174,432,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,175,468 : 80,527,024 = 80,527,024 : x
  2. Step 2: Convert to fraction form
    37,175,468/80,527,024 = 80,527,024/x
  3. Step 3: Cross multiply
    37,175,468x = 80,527,024 × 80,527,024
  4. Step 4: Simplify right side
    37,175,468x = 6,484,601,594,296,576
  5. Step 5: Solve for x
    x = 6,484,601,594,296,576/37,175,468
  6. Step 6: Final answer
    x = 174,432,278.68

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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.