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Finding the Third Proportional to 41,834,716 and 91,077,367

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Solution

The third proportional to 41,834,716 and 91,077,367 is: 198,282,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,834,716 : 91,077,367 = 91,077,367 : x
  2. Step 2: Convert to fraction form
    41,834,716/91,077,367 = 91,077,367/x
  3. Step 3: Cross multiply
    41,834,716x = 91,077,367 × 91,077,367
  4. Step 4: Simplify right side
    41,834,716x = 8,295,086,779,652,689
  5. Step 5: Solve for x
    x = 8,295,086,779,652,689/41,834,716
  6. Step 6: Final answer
    x = 198,282,373.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.