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Finding the Third Proportional to 3,163,514 and 6,824,692

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Solution

The third proportional to 3,163,514 and 6,824,692 is: 14,723,001.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163,514 : 6,824,692 = 6,824,692 : x
  2. Step 2: Convert to fraction form
    3,163,514/6,824,692 = 6,824,692/x
  3. Step 3: Cross multiply
    3,163,514x = 6,824,692 × 6,824,692
  4. Step 4: Simplify right side
    3,163,514x = 46,576,420,894,864
  5. Step 5: Solve for x
    x = 46,576,420,894,864/3,163,514
  6. Step 6: Final answer
    x = 14,723,001.35

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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.