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Finding the Third Proportional to 3,251,804,073.75 and 5,174,259,543

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Solution

The third proportional to 3,251,804,073.75 and 5,174,259,543 is: 8,233,264,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251,804,073.75 : 5,174,259,543 = 5,174,259,543 : x
  2. Step 2: Convert to fraction form
    3,251,804,073.75/5,174,259,543 = 5,174,259,543/x
  3. Step 3: Cross multiply
    3,251,804,073.75x = 5,174,259,543 × 5,174,259,543
  4. Step 4: Simplify right side
    3,251,804,073.75x = 26,772,961,818,326,568,960
  5. Step 5: Solve for x
    x = 26,772,961,818,326,568,960/3,251,804,073.75
  6. Step 6: Final answer
    x = 8,233,264,123.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.