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Finding the Third Proportional to 3,200,678 and 6,976,528

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Solution

The third proportional to 3,200,678 and 6,976,528 is: 15,206,760.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200,678 : 6,976,528 = 6,976,528 : x
  2. Step 2: Convert to fraction form
    3,200,678/6,976,528 = 6,976,528/x
  3. Step 3: Cross multiply
    3,200,678x = 6,976,528 × 6,976,528
  4. Step 4: Simplify right side
    3,200,678x = 48,671,942,934,784
  5. Step 5: Solve for x
    x = 48,671,942,934,784/3,200,678
  6. Step 6: Final answer
    x = 15,206,760.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.