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Finding the Third Proportional to 37,172,371 and 80,521,643

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Solution

The third proportional to 37,172,371 and 80,521,643 is: 174,423,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,172,371 : 80,521,643 = 80,521,643 : x
  2. Step 2: Convert to fraction form
    37,172,371/80,521,643 = 80,521,643/x
  3. Step 3: Cross multiply
    37,172,371x = 80,521,643 × 80,521,643
  4. Step 4: Simplify right side
    37,172,371x = 6,483,734,991,419,449
  5. Step 5: Solve for x
    x = 6,483,734,991,419,449/37,172,371
  6. Step 6: Final answer
    x = 174,423,498.34

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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.