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Finding the Third Proportional to 3,646,878 and 7,935,922

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Solution

The third proportional to 3,646,878 and 7,935,922 is: 17,269,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646,878 : 7,935,922 = 7,935,922 : x
  2. Step 2: Convert to fraction form
    3,646,878/7,935,922 = 7,935,922/x
  3. Step 3: Cross multiply
    3,646,878x = 7,935,922 × 7,935,922
  4. Step 4: Simplify right side
    3,646,878x = 62,978,857,990,084
  5. Step 5: Solve for x
    x = 62,978,857,990,084/3,646,878
  6. Step 6: Final answer
    x = 17,269,252.77

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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.