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Finding the Third Proportional to 3,165,770 and 6,443,328

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Solution

The third proportional to 3,165,770 and 6,443,328 is: 13,114,179.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165,770 : 6,443,328 = 6,443,328 : x
  2. Step 2: Convert to fraction form
    3,165,770/6,443,328 = 6,443,328/x
  3. Step 3: Cross multiply
    3,165,770x = 6,443,328 × 6,443,328
  4. Step 4: Simplify right side
    3,165,770x = 41,516,475,715,584
  5. Step 5: Solve for x
    x = 41,516,475,715,584/3,165,770
  6. Step 6: Final answer
    x = 13,114,179.40

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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.