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Finding the Third Proportional to 2,614,628.75 and 5,663,420.50

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Solution

The third proportional to 2,614,628.75 and 5,663,420.50 is: 12,267,260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614,628.75 : 5,663,420.50 = 5,663,420.50 : x
  2. Step 2: Convert to fraction form
    2,614,628.75/5,663,420.50 = 5,663,420.50/x
  3. Step 3: Cross multiply
    2,614,628.75x = 5,663,420.50 × 5,663,420.50
  4. Step 4: Simplify right side
    2,614,628.75x = 32,074,331,759,820.25
  5. Step 5: Solve for x
    x = 32,074,331,759,820.25/2,614,628.75
  6. Step 6: Final answer
    x = 12,267,260.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.