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Finding the Third Proportional to 3,154,922 and 6,862,616

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Solution

The third proportional to 3,154,922 and 6,862,616 is: 14,927,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154,922 : 6,862,616 = 6,862,616 : x
  2. Step 2: Convert to fraction form
    3,154,922/6,862,616 = 6,862,616/x
  3. Step 3: Cross multiply
    3,154,922x = 6,862,616 × 6,862,616
  4. Step 4: Simplify right side
    3,154,922x = 47,095,498,363,456
  5. Step 5: Solve for x
    x = 47,095,498,363,456/3,154,922
  6. Step 6: Final answer
    x = 14,927,626.85

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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.