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Finding the Third Proportional to 37,172,371.31 and 80,521,640.63

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Solution

The third proportional to 37,172,371.31 and 80,521,640.63 is: 174,423,486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,172,371.31 : 80,521,640.63 = 80,521,640.63 : x
  2. Step 2: Convert to fraction form
    37,172,371.31/80,521,640.63 = 80,521,640.63/x
  3. Step 3: Cross multiply
    37,172,371.31x = 80,521,640.63 × 80,521,640.63
  4. Step 4: Simplify right side
    37,172,371.31x = 6,483,734,608,941,650
  5. Step 5: Solve for x
    x = 6,483,734,608,941,650/37,172,371.31
  6. Step 6: Final answer
    x = 174,423,486.58

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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.