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Finding the Third Proportional to 3,196,866 and 6,849,722

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Solution

The third proportional to 3,196,866 and 6,849,722 is: 14,676,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196,866 : 6,849,722 = 6,849,722 : x
  2. Step 2: Convert to fraction form
    3,196,866/6,849,722 = 6,849,722/x
  3. Step 3: Cross multiply
    3,196,866x = 6,849,722 × 6,849,722
  4. Step 4: Simplify right side
    3,196,866x = 46,918,691,477,284
  5. Step 5: Solve for x
    x = 46,918,691,477,284/3,196,866
  6. Step 6: Final answer
    x = 14,676,464.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.