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Finding the Third Proportional to 51,689,576 and 112,768,016

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Solution

The third proportional to 51,689,576 and 112,768,016 is: 246,019,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,689,576 : 112,768,016 = 112,768,016 : x
  2. Step 2: Convert to fraction form
    51,689,576/112,768,016 = 112,768,016/x
  3. Step 3: Cross multiply
    51,689,576x = 112,768,016 × 112,768,016
  4. Step 4: Simplify right side
    51,689,576x = 12,716,625,432,576,256
  5. Step 5: Solve for x
    x = 12,716,625,432,576,256/51,689,576
  6. Step 6: Final answer
    x = 246,019,147.70

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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.