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Finding the Third Proportional to 37,762,299 and 82,544,583

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Solution

The third proportional to 37,762,299 and 82,544,583 is: 180,434,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,762,299 : 82,544,583 = 82,544,583 : x
  2. Step 2: Convert to fraction form
    37,762,299/82,544,583 = 82,544,583/x
  3. Step 3: Cross multiply
    37,762,299x = 82,544,583 × 82,544,583
  4. Step 4: Simplify right side
    37,762,299x = 6,813,608,182,643,889
  5. Step 5: Solve for x
    x = 6,813,608,182,643,889/37,762,299
  6. Step 6: Final answer
    x = 180,434,146.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.