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Finding the Third Proportional to 906,262,372.50 and 1,951,972,648.50

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Solution

The third proportional to 906,262,372.50 and 1,951,972,648.50 is: 4,204,298,154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,262,372.50 : 1,951,972,648.50 = 1,951,972,648.50 : x
  2. Step 2: Convert to fraction form
    906,262,372.50/1,951,972,648.50 = 1,951,972,648.50/x
  3. Step 3: Cross multiply
    906,262,372.50x = 1,951,972,648.50 × 1,951,972,648.50
  4. Step 4: Simplify right side
    906,262,372.50x = 3,810,197,220,492,104,704
  5. Step 5: Solve for x
    x = 3,810,197,220,492,104,704/906,262,372.50
  6. Step 6: Final answer
    x = 4,204,298,154.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.