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Finding the Third Proportional to 37,838,770 and 82,744,100

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Solution

The third proportional to 37,838,770 and 82,744,100 is: 180,941,031.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,838,770 : 82,744,100 = 82,744,100 : x
  2. Step 2: Convert to fraction form
    37,838,770/82,744,100 = 82,744,100/x
  3. Step 3: Cross multiply
    37,838,770x = 82,744,100 × 82,744,100
  4. Step 4: Simplify right side
    37,838,770x = 6,846,586,084,810,000
  5. Step 5: Solve for x
    x = 6,846,586,084,810,000/37,838,770
  6. Step 6: Final answer
    x = 180,941,031.77

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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.