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Finding the Third Proportional to 51,825,409 and 113,413,634

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Solution

The third proportional to 51,825,409 and 113,413,634 is: 248,192,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,825,409 : 113,413,634 = 113,413,634 : x
  2. Step 2: Convert to fraction form
    51,825,409/113,413,634 = 113,413,634/x
  3. Step 3: Cross multiply
    51,825,409x = 113,413,634 × 113,413,634
  4. Step 4: Simplify right side
    51,825,409x = 12,862,652,377,085,956
  5. Step 5: Solve for x
    x = 12,862,652,377,085,956/51,825,409
  6. Step 6: Final answer
    x = 248,192,009.00

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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.