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Finding the Third Proportional to 51,825,415 and 113,413,646

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Solution

The third proportional to 51,825,415 and 113,413,646 is: 248,192,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,825,415 : 113,413,646 = 113,413,646 : x
  2. Step 2: Convert to fraction form
    51,825,415/113,413,646 = 113,413,646/x
  3. Step 3: Cross multiply
    51,825,415x = 113,413,646 × 113,413,646
  4. Step 4: Simplify right side
    51,825,415x = 12,862,655,099,013,316
  5. Step 5: Solve for x
    x = 12,862,655,099,013,316/51,825,415
  6. Step 6: Final answer
    x = 248,192,032.79

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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.