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Finding the Third Proportional to 4,684,152 and 6,987,366

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Solution

The third proportional to 4,684,152 and 6,987,366 is: 10,423,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684,152 : 6,987,366 = 6,987,366 : x
  2. Step 2: Convert to fraction form
    4,684,152/6,987,366 = 6,987,366/x
  3. Step 3: Cross multiply
    4,684,152x = 6,987,366 × 6,987,366
  4. Step 4: Simplify right side
    4,684,152x = 48,823,283,617,956
  5. Step 5: Solve for x
    x = 48,823,283,617,956/4,684,152
  6. Step 6: Final answer
    x = 10,423,078.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.