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Finding the Third Proportional to 3,464,712 and 7,149,108

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Solution

The third proportional to 3,464,712 and 7,149,108 is: 14,751,513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464,712 : 7,149,108 = 7,149,108 : x
  2. Step 2: Convert to fraction form
    3,464,712/7,149,108 = 7,149,108/x
  3. Step 3: Cross multiply
    3,464,712x = 7,149,108 × 7,149,108
  4. Step 4: Simplify right side
    3,464,712x = 51,109,745,195,664
  5. Step 5: Solve for x
    x = 51,109,745,195,664/3,464,712
  6. Step 6: Final answer
    x = 14,751,513.31

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.