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Finding the Third Proportional to 247,025,707 and 519,526,114

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Solution

The third proportional to 247,025,707 and 519,526,114 is: 1,092,628,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,025,707 : 519,526,114 = 519,526,114 : x
  2. Step 2: Convert to fraction form
    247,025,707/519,526,114 = 519,526,114/x
  3. Step 3: Cross multiply
    247,025,707x = 519,526,114 × 519,526,114
  4. Step 4: Simplify right side
    247,025,707x = 269,907,383,127,940,992
  5. Step 5: Solve for x
    x = 269,907,383,127,940,992/247,025,707
  6. Step 6: Final answer
    x = 1,092,628,724.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.