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Finding the Third Proportional to 5,111,267.25 and 7,670,642.25

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Solution

The third proportional to 5,111,267.25 and 7,670,642.25 is: 11,511,578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111,267.25 : 7,670,642.25 = 7,670,642.25 : x
  2. Step 2: Convert to fraction form
    5,111,267.25/7,670,642.25 = 7,670,642.25/x
  3. Step 3: Cross multiply
    5,111,267.25x = 7,670,642.25 × 7,670,642.25
  4. Step 4: Simplify right side
    5,111,267.25x = 58,838,752,527,485.06
  5. Step 5: Solve for x
    x = 58,838,752,527,485.06/5,111,267.25
  6. Step 6: Final answer
    x = 11,511,578.18

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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.