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Finding the Third Proportional to 10,399,315 and 16,228,528.25

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Solution

The third proportional to 10,399,315 and 16,228,528.25 is: 25,325,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399,315 : 16,228,528.25 = 16,228,528.25 : x
  2. Step 2: Convert to fraction form
    10,399,315/16,228,528.25 = 16,228,528.25/x
  3. Step 3: Cross multiply
    10,399,315x = 16,228,528.25 × 16,228,528.25
  4. Step 4: Simplify right side
    10,399,315x = 263,365,129,161,048.06
  5. Step 5: Solve for x
    x = 263,365,129,161,048.06/10,399,315
  6. Step 6: Final answer
    x = 25,325,238.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.