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Finding the Third Proportional to 51,213,782 and 112,642,754

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Solution

The third proportional to 51,213,782 and 112,642,754 is: 247,753,427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,213,782 : 112,642,754 = 112,642,754 : x
  2. Step 2: Convert to fraction form
    51,213,782/112,642,754 = 112,642,754/x
  3. Step 3: Cross multiply
    51,213,782x = 112,642,754 × 112,642,754
  4. Step 4: Simplify right side
    51,213,782x = 12,688,390,028,704,516
  5. Step 5: Solve for x
    x = 12,688,390,028,704,516/51,213,782
  6. Step 6: Final answer
    x = 247,753,427.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.