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Finding the Third Proportional to 6,508,712 and 13,996,960

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Solution

The third proportional to 6,508,712 and 13,996,960 is: 30,100,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508,712 : 13,996,960 = 13,996,960 : x
  2. Step 2: Convert to fraction form
    6,508,712/13,996,960 = 13,996,960/x
  3. Step 3: Cross multiply
    6,508,712x = 13,996,960 × 13,996,960
  4. Step 4: Simplify right side
    6,508,712x = 195,914,889,241,600
  5. Step 5: Solve for x
    x = 195,914,889,241,600/6,508,712
  6. Step 6: Final answer
    x = 30,100,408.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.