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Finding the Third Proportional to 3,159,061 and 6,822,466

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Solution

The third proportional to 3,159,061 and 6,822,466 is: 14,734,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159,061 : 6,822,466 = 6,822,466 : x
  2. Step 2: Convert to fraction form
    3,159,061/6,822,466 = 6,822,466/x
  3. Step 3: Cross multiply
    3,159,061x = 6,822,466 × 6,822,466
  4. Step 4: Simplify right side
    3,159,061x = 46,546,042,321,156
  5. Step 5: Solve for x
    x = 46,546,042,321,156/3,159,061
  6. Step 6: Final answer
    x = 14,734,138.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.