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Finding the Third Proportional to 10,399,308 and 16,228,517.25

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Solution

The third proportional to 10,399,308 and 16,228,517.25 is: 25,325,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399,308 : 16,228,517.25 = 16,228,517.25 : x
  2. Step 2: Convert to fraction form
    10,399,308/16,228,517.25 = 16,228,517.25/x
  3. Step 3: Cross multiply
    10,399,308x = 16,228,517.25 × 16,228,517.25
  4. Step 4: Simplify right side
    10,399,308x = 263,364,772,133,547.56
  5. Step 5: Solve for x
    x = 263,364,772,133,547.56/10,399,308
  6. Step 6: Final answer
    x = 25,325,220.88

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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.