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Finding the Third Proportional to 37,175,438 and 80,526,964

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Solution

The third proportional to 37,175,438 and 80,526,964 is: 174,432,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,175,438 : 80,526,964 = 80,526,964 : x
  2. Step 2: Convert to fraction form
    37,175,438/80,526,964 = 80,526,964/x
  3. Step 3: Cross multiply
    37,175,438x = 80,526,964 × 80,526,964
  4. Step 4: Simplify right side
    37,175,438x = 6,484,591,931,057,296
  5. Step 5: Solve for x
    x = 6,484,591,931,057,296/37,175,438
  6. Step 6: Final answer
    x = 174,432,159.51

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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.