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Finding the Third Proportional to 2,964,159 and 6,377,706

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Solution

The third proportional to 2,964,159 and 6,377,706 is: 13,722,318.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964,159 : 6,377,706 = 6,377,706 : x
  2. Step 2: Convert to fraction form
    2,964,159/6,377,706 = 6,377,706/x
  3. Step 3: Cross multiply
    2,964,159x = 6,377,706 × 6,377,706
  4. Step 4: Simplify right side
    2,964,159x = 40,675,133,822,436
  5. Step 5: Solve for x
    x = 40,675,133,822,436/2,964,159
  6. Step 6: Final answer
    x = 13,722,318.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.