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Finding the Third Proportional to 5,262,787.50 and 7,872,759

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Solution

The third proportional to 5,262,787.50 and 7,872,759 is: 11,777,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262,787.50 : 7,872,759 = 7,872,759 : x
  2. Step 2: Convert to fraction form
    5,262,787.50/7,872,759 = 7,872,759/x
  3. Step 3: Cross multiply
    5,262,787.50x = 7,872,759 × 7,872,759
  4. Step 4: Simplify right side
    5,262,787.50x = 61,980,334,272,081
  5. Step 5: Solve for x
    x = 61,980,334,272,081/5,262,787.50
  6. Step 6: Final answer
    x = 11,777,092.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.