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Finding the Third Proportional to 6,319,993 and 9,546,408

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Solution

The third proportional to 6,319,993 and 9,546,408 is: 14,419,937.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319,993 : 9,546,408 = 9,546,408 : x
  2. Step 2: Convert to fraction form
    6,319,993/9,546,408 = 9,546,408/x
  3. Step 3: Cross multiply
    6,319,993x = 9,546,408 × 9,546,408
  4. Step 4: Simplify right side
    6,319,993x = 91,133,905,702,464
  5. Step 5: Solve for x
    x = 91,133,905,702,464/6,319,993
  6. Step 6: Final answer
    x = 14,419,937.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.