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Finding the Third Proportional to 21,274,825.50 and 30,982,213.50

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Solution

The third proportional to 21,274,825.50 and 30,982,213.50 is: 45,118,938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274,825.50 : 30,982,213.50 = 30,982,213.50 : x
  2. Step 2: Convert to fraction form
    21,274,825.50/30,982,213.50 = 30,982,213.50/x
  3. Step 3: Cross multiply
    21,274,825.50x = 30,982,213.50 × 30,982,213.50
  4. Step 4: Simplify right side
    21,274,825.50x = 959,897,553,359,582.25
  5. Step 5: Solve for x
    x = 959,897,553,359,582.25/21,274,825.50
  6. Step 6: Final answer
    x = 45,118,938.97

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