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Finding the Third Proportional to 21,274,822.13 and 30,982,209.75

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Solution

The third proportional to 21,274,822.13 and 30,982,209.75 is: 45,118,935.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274,822.13 : 30,982,209.75 = 30,982,209.75 : x
  2. Step 2: Convert to fraction form
    21,274,822.13/30,982,209.75 = 30,982,209.75/x
  3. Step 3: Cross multiply
    21,274,822.13x = 30,982,209.75 × 30,982,209.75
  4. Step 4: Simplify right side
    21,274,822.13x = 959,897,320,992,995
  5. Step 5: Solve for x
    x = 959,897,320,992,995/21,274,822.13
  6. Step 6: Final answer
    x = 45,118,935.21

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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.