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Finding the Third Proportional to 51,825,411 and 113,413,638

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Solution

The third proportional to 51,825,411 and 113,413,638 is: 248,192,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,825,411 : 113,413,638 = 113,413,638 : x
  2. Step 2: Convert to fraction form
    51,825,411/113,413,638 = 113,413,638/x
  3. Step 3: Cross multiply
    51,825,411x = 113,413,638 × 113,413,638
  4. Step 4: Simplify right side
    51,825,411x = 12,862,653,284,395,044
  5. Step 5: Solve for x
    x = 12,862,653,284,395,044/51,825,411
  6. Step 6: Final answer
    x = 248,192,016.93

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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.