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Finding the Third Proportional to 35,225,917 and 71,442,306

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Solution

The third proportional to 35,225,917 and 71,442,306 is: 144,893,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,225,917 : 71,442,306 = 71,442,306 : x
  2. Step 2: Convert to fraction form
    35,225,917/71,442,306 = 71,442,306/x
  3. Step 3: Cross multiply
    35,225,917x = 71,442,306 × 71,442,306
  4. Step 4: Simplify right side
    35,225,917x = 5,104,003,086,597,636
  5. Step 5: Solve for x
    x = 5,104,003,086,597,636/35,225,917
  6. Step 6: Final answer
    x = 144,893,405.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.