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Finding the Third Proportional to 21,047,982 and 31,486,144

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Solution

The third proportional to 21,047,982 and 31,486,144 is: 47,100,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,047,982 : 31,486,144 = 31,486,144 : x
  2. Step 2: Convert to fraction form
    21,047,982/31,486,144 = 31,486,144/x
  3. Step 3: Cross multiply
    21,047,982x = 31,486,144 × 31,486,144
  4. Step 4: Simplify right side
    21,047,982x = 991,377,263,988,736
  5. Step 5: Solve for x
    x = 991,377,263,988,736/21,047,982
  6. Step 6: Final answer
    x = 47,100,822.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.