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Finding the Third Proportional to 12,171,822.75 and 25,701,772.50

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Solution

The third proportional to 12,171,822.75 and 25,701,772.50 is: 54,271,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171,822.75 : 25,701,772.50 = 25,701,772.50 : x
  2. Step 2: Convert to fraction form
    12,171,822.75/25,701,772.50 = 25,701,772.50/x
  3. Step 3: Cross multiply
    12,171,822.75x = 25,701,772.50 × 25,701,772.50
  4. Step 4: Simplify right side
    12,171,822.75x = 660,581,109,641,756.25
  5. Step 5: Solve for x
    x = 660,581,109,641,756.25/12,171,822.75
  6. Step 6: Final answer
    x = 54,271,338.25

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.