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Finding the Third Proportional to 3,168,742 and 6,842,613

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Solution

The third proportional to 3,168,742 and 6,842,613 is: 14,776,006.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168,742 : 6,842,613 = 6,842,613 : x
  2. Step 2: Convert to fraction form
    3,168,742/6,842,613 = 6,842,613/x
  3. Step 3: Cross multiply
    3,168,742x = 6,842,613 × 6,842,613
  4. Step 4: Simplify right side
    3,168,742x = 46,821,352,667,769
  5. Step 5: Solve for x
    x = 46,821,352,667,769/3,168,742
  6. Step 6: Final answer
    x = 14,776,006.59

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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.