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Finding the Third Proportional to 57,011,846 and 124,473,982

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Solution

The third proportional to 57,011,846 and 124,473,982 is: 271,764,085.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,011,846 : 124,473,982 = 124,473,982 : x
  2. Step 2: Convert to fraction form
    57,011,846/124,473,982 = 124,473,982/x
  3. Step 3: Cross multiply
    57,011,846x = 124,473,982 × 124,473,982
  4. Step 4: Simplify right side
    57,011,846x = 15,493,772,194,936,324
  5. Step 5: Solve for x
    x = 15,493,772,194,936,324/57,011,846
  6. Step 6: Final answer
    x = 271,764,085.57

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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.