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Finding the Third Proportional to 3,165,430 and 6,442,728

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Solution

The third proportional to 3,165,430 and 6,442,728 is: 13,113,145.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165,430 : 6,442,728 = 6,442,728 : x
  2. Step 2: Convert to fraction form
    3,165,430/6,442,728 = 6,442,728/x
  3. Step 3: Cross multiply
    3,165,430x = 6,442,728 × 6,442,728
  4. Step 4: Simplify right side
    3,165,430x = 41,508,744,081,984
  5. Step 5: Solve for x
    x = 41,508,744,081,984/3,165,430
  6. Step 6: Final answer
    x = 13,113,145.48

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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.