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Finding the Third Proportional to 35,218,311 and 76,299,200

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Solution

The third proportional to 35,218,311 and 76,299,200 is: 165,299,463.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,218,311 : 76,299,200 = 76,299,200 : x
  2. Step 2: Convert to fraction form
    35,218,311/76,299,200 = 76,299,200/x
  3. Step 3: Cross multiply
    35,218,311x = 76,299,200 × 76,299,200
  4. Step 4: Simplify right side
    35,218,311x = 5,821,567,920,640,000
  5. Step 5: Solve for x
    x = 5,821,567,920,640,000/35,218,311
  6. Step 6: Final answer
    x = 165,299,463.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.