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Finding the Third Proportional to 10,209,485.25 and 15,816,165.75

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Solution

The third proportional to 10,209,485.25 and 15,816,165.75 is: 24,501,832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209,485.25 : 15,816,165.75 = 15,816,165.75 : x
  2. Step 2: Convert to fraction form
    10,209,485.25/15,816,165.75 = 15,816,165.75/x
  3. Step 3: Cross multiply
    10,209,485.25x = 15,816,165.75 × 15,816,165.75
  4. Step 4: Simplify right side
    10,209,485.25x = 250,151,099,031,473.06
  5. Step 5: Solve for x
    x = 250,151,099,031,473.06/10,209,485.25
  6. Step 6: Final answer
    x = 24,501,832.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.