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Finding the Third Proportional to 9,909,180 and 14,481,398

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Solution

The third proportional to 9,909,180 and 14,481,398 is: 21,163,293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909,180 : 14,481,398 = 14,481,398 : x
  2. Step 2: Convert to fraction form
    9,909,180/14,481,398 = 14,481,398/x
  3. Step 3: Cross multiply
    9,909,180x = 14,481,398 × 14,481,398
  4. Step 4: Simplify right side
    9,909,180x = 209,710,888,034,404
  5. Step 5: Solve for x
    x = 209,710,888,034,404/9,909,180
  6. Step 6: Final answer
    x = 21,163,293.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.