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Finding the Third Proportional to 16,738,966 and 35,486,948

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Solution

The third proportional to 16,738,966 and 35,486,948 is: 75,233,050.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738,966 : 35,486,948 = 35,486,948 : x
  2. Step 2: Convert to fraction form
    16,738,966/35,486,948 = 35,486,948/x
  3. Step 3: Cross multiply
    16,738,966x = 35,486,948 × 35,486,948
  4. Step 4: Simplify right side
    16,738,966x = 1,259,323,478,354,704
  5. Step 5: Solve for x
    x = 1,259,323,478,354,704/16,738,966
  6. Step 6: Final answer
    x = 75,233,050.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.