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Finding the Third Proportional to 15,022,205.25 and 32,439,094.50

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Solution

The third proportional to 15,022,205.25 and 32,439,094.50 is: 70,049,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,022,205.25 : 32,439,094.50 = 32,439,094.50 : x
  2. Step 2: Convert to fraction form
    15,022,205.25/32,439,094.50 = 32,439,094.50/x
  3. Step 3: Cross multiply
    15,022,205.25x = 32,439,094.50 × 32,439,094.50
  4. Step 4: Simplify right side
    15,022,205.25x = 1,052,294,851,979,930.25
  5. Step 5: Solve for x
    x = 1,052,294,851,979,930.25/15,022,205.25
  6. Step 6: Final answer
    x = 70,049,292.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.