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Finding the Third Proportional to 34,127,217 and 48,288,966.75

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Solution

The third proportional to 34,127,217 and 48,288,966.75 is: 68,327,408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,127,217 : 48,288,966.75 = 48,288,966.75 : x
  2. Step 2: Convert to fraction form
    34,127,217/48,288,966.75 = 48,288,966.75/x
  3. Step 3: Cross multiply
    34,127,217x = 48,288,966.75 × 48,288,966.75
  4. Step 4: Simplify right side
    34,127,217x = 2,331,824,309,782,605.50
  5. Step 5: Solve for x
    x = 2,331,824,309,782,605.50/34,127,217
  6. Step 6: Final answer
    x = 68,327,408.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.