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Finding the Third Proportional to 34,948,261 and 54,704,023.50

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Solution

The third proportional to 34,948,261 and 54,704,023.50 is: 85,627,441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,948,261 : 54,704,023.50 = 54,704,023.50 : x
  2. Step 2: Convert to fraction form
    34,948,261/54,704,023.50 = 54,704,023.50/x
  3. Step 3: Cross multiply
    34,948,261x = 54,704,023.50 × 54,704,023.50
  4. Step 4: Simplify right side
    34,948,261x = 2,992,530,187,088,552
  5. Step 5: Solve for x
    x = 2,992,530,187,088,552/34,948,261
  6. Step 6: Final answer
    x = 85,627,441.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.