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Finding the Third Proportional to 3,165,768 and 6,443,324

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Solution

The third proportional to 3,165,768 and 6,443,324 is: 13,114,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165,768 : 6,443,324 = 6,443,324 : x
  2. Step 2: Convert to fraction form
    3,165,768/6,443,324 = 6,443,324/x
  3. Step 3: Cross multiply
    3,165,768x = 6,443,324 × 6,443,324
  4. Step 4: Simplify right side
    3,165,768x = 41,516,424,168,976
  5. Step 5: Solve for x
    x = 41,516,424,168,976/3,165,768
  6. Step 6: Final answer
    x = 13,114,171.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.