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Finding the Third Proportional to 2,605,468.50 and 5,741,005.50

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Solution

The third proportional to 2,605,468.50 and 5,741,005.50 is: 12,649,987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605,468.50 : 5,741,005.50 = 5,741,005.50 : x
  2. Step 2: Convert to fraction form
    2,605,468.50/5,741,005.50 = 5,741,005.50/x
  3. Step 3: Cross multiply
    2,605,468.50x = 5,741,005.50 × 5,741,005.50
  4. Step 4: Simplify right side
    2,605,468.50x = 32,959,144,151,030.25
  5. Step 5: Solve for x
    x = 32,959,144,151,030.25/2,605,468.50
  6. Step 6: Final answer
    x = 12,649,987.57

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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.