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Finding the Third Proportional to 51,716,615 and 109,737,535

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Solution

The third proportional to 51,716,615 and 109,737,535 is: 232,852,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,716,615 : 109,737,535 = 109,737,535 : x
  2. Step 2: Convert to fraction form
    51,716,615/109,737,535 = 109,737,535/x
  3. Step 3: Cross multiply
    51,716,615x = 109,737,535 × 109,737,535
  4. Step 4: Simplify right side
    51,716,615x = 12,042,326,587,876,224
  5. Step 5: Solve for x
    x = 12,042,326,587,876,224/51,716,615
  6. Step 6: Final answer
    x = 232,852,180.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.