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Finding the Third Proportional to 37,854,574 and 82,352,160

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Solution

The third proportional to 37,854,574 and 82,352,160 is: 179,156,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,854,574 : 82,352,160 = 82,352,160 : x
  2. Step 2: Convert to fraction form
    37,854,574/82,352,160 = 82,352,160/x
  3. Step 3: Cross multiply
    37,854,574x = 82,352,160 × 82,352,160
  4. Step 4: Simplify right side
    37,854,574x = 6,781,878,256,665,600
  5. Step 5: Solve for x
    x = 6,781,878,256,665,600/37,854,574
  6. Step 6: Final answer
    x = 179,156,110.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.