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Finding the Third Proportional to 7,882,446 and 16,943,406

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Solution

The third proportional to 7,882,446 and 16,943,406 is: 36,420,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882,446 : 16,943,406 = 16,943,406 : x
  2. Step 2: Convert to fraction form
    7,882,446/16,943,406 = 16,943,406/x
  3. Step 3: Cross multiply
    7,882,446x = 16,943,406 × 16,943,406
  4. Step 4: Simplify right side
    7,882,446x = 287,079,006,880,836
  5. Step 5: Solve for x
    x = 287,079,006,880,836/7,882,446
  6. Step 6: Final answer
    x = 36,420,041.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.