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Finding the Third Proportional to 37,623,264.75 and 82,645,182

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Solution

The third proportional to 37,623,264.75 and 82,645,182 is: 181,542,621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,623,264.75 : 82,645,182 = 82,645,182 : x
  2. Step 2: Convert to fraction form
    37,623,264.75/82,645,182 = 82,645,182/x
  3. Step 3: Cross multiply
    37,623,264.75x = 82,645,182 × 82,645,182
  4. Step 4: Simplify right side
    37,623,264.75x = 6,830,226,107,813,124
  5. Step 5: Solve for x
    x = 6,830,226,107,813,124/37,623,264.75
  6. Step 6: Final answer
    x = 181,542,621.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.