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Finding the Third Proportional to 2,670,238.50 and 5,885,041.50

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Solution

The third proportional to 2,670,238.50 and 5,885,041.50 is: 12,970,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670,238.50 : 5,885,041.50 = 5,885,041.50 : x
  2. Step 2: Convert to fraction form
    2,670,238.50/5,885,041.50 = 5,885,041.50/x
  3. Step 3: Cross multiply
    2,670,238.50x = 5,885,041.50 × 5,885,041.50
  4. Step 4: Simplify right side
    2,670,238.50x = 34,633,713,456,722.25
  5. Step 5: Solve for x
    x = 34,633,713,456,722.25/2,670,238.50
  6. Step 6: Final answer
    x = 12,970,269.68

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