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Finding the Third Proportional to 6,283,904 and 9,608,464

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Solution

The third proportional to 6,283,904 and 9,608,464 is: 14,691,914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,904 : 9,608,464 = 9,608,464 : x
  2. Step 2: Convert to fraction form
    6,283,904/9,608,464 = 9,608,464/x
  3. Step 3: Cross multiply
    6,283,904x = 9,608,464 × 9,608,464
  4. Step 4: Simplify right side
    6,283,904x = 92,322,580,439,296
  5. Step 5: Solve for x
    x = 92,322,580,439,296/6,283,904
  6. Step 6: Final answer
    x = 14,691,914.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.