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Finding the Third Proportional to 3,754,121,120 and 5,112,472,181

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Solution

The third proportional to 3,754,121,120 and 5,112,472,181 is: 6,962,314,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754,121,120 : 5,112,472,181 = 5,112,472,181 : x
  2. Step 2: Convert to fraction form
    3,754,121,120/5,112,472,181 = 5,112,472,181/x
  3. Step 3: Cross multiply
    3,754,121,120x = 5,112,472,181 × 5,112,472,181
  4. Step 4: Simplify right side
    3,754,121,120x = 26,137,371,801,498,898,432
  5. Step 5: Solve for x
    x = 26,137,371,801,498,898,432/3,754,121,120
  6. Step 6: Final answer
    x = 6,962,314,471.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.