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Finding the Third Proportional to 259,726,138 and 571,396,871

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Solution

The third proportional to 259,726,138 and 571,396,871 is: 1,257,071,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,726,138 : 571,396,871 = 571,396,871 : x
  2. Step 2: Convert to fraction form
    259,726,138/571,396,871 = 571,396,871/x
  3. Step 3: Cross multiply
    259,726,138x = 571,396,871 × 571,396,871
  4. Step 4: Simplify right side
    259,726,138x = 326,494,384,188,590,656
  5. Step 5: Solve for x
    x = 326,494,384,188,590,656/259,726,138
  6. Step 6: Final answer
    x = 1,257,071,724.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.