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Finding the Third Proportional to 51,825,417 and 113,413,650

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Solution

The third proportional to 51,825,417 and 113,413,650 is: 248,192,040.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,825,417 : 113,413,650 = 113,413,650 : x
  2. Step 2: Convert to fraction form
    51,825,417/113,413,650 = 113,413,650/x
  3. Step 3: Cross multiply
    51,825,417x = 113,413,650 × 113,413,650
  4. Step 4: Simplify right side
    51,825,417x = 12,862,656,006,322,500
  5. Step 5: Solve for x
    x = 12,862,656,006,322,500/51,825,417
  6. Step 6: Final answer
    x = 248,192,040.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.