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Finding the Third Proportional to 35,913,720 and 76,869,744

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Solution

The third proportional to 35,913,720 and 76,869,744 is: 164,532,037.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,913,720 : 76,869,744 = 76,869,744 : x
  2. Step 2: Convert to fraction form
    35,913,720/76,869,744 = 76,869,744/x
  3. Step 3: Cross multiply
    35,913,720x = 76,869,744 × 76,869,744
  4. Step 4: Simplify right side
    35,913,720x = 5,908,957,542,625,536
  5. Step 5: Solve for x
    x = 5,908,957,542,625,536/35,913,720
  6. Step 6: Final answer
    x = 164,532,037.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.