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Finding the Third Proportional to 11,754,295 and 17,808,909

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Solution

The third proportional to 11,754,295 and 17,808,909 is: 26,982,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754,295 : 17,808,909 = 17,808,909 : x
  2. Step 2: Convert to fraction form
    11,754,295/17,808,909 = 17,808,909/x
  3. Step 3: Cross multiply
    11,754,295x = 17,808,909 × 17,808,909
  4. Step 4: Simplify right side
    11,754,295x = 317,157,239,770,281
  5. Step 5: Solve for x
    x = 317,157,239,770,281/11,754,295
  6. Step 6: Final answer
    x = 26,982,242.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.