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Finding the Third Proportional to 34,948,262 and 54,704,025

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Solution

The third proportional to 34,948,262 and 54,704,025 is: 85,627,444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,948,262 : 54,704,025 = 54,704,025 : x
  2. Step 2: Convert to fraction form
    34,948,262/54,704,025 = 54,704,025/x
  3. Step 3: Cross multiply
    34,948,262x = 54,704,025 × 54,704,025
  4. Step 4: Simplify right side
    34,948,262x = 2,992,530,351,200,625
  5. Step 5: Solve for x
    x = 2,992,530,351,200,625/34,948,262
  6. Step 6: Final answer
    x = 85,627,444.11

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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.