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Finding the Third Proportional to 6,204,264 and 9,312,961

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Solution

The third proportional to 6,204,264 and 9,312,961 is: 13,979,295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204,264 : 9,312,961 = 9,312,961 : x
  2. Step 2: Convert to fraction form
    6,204,264/9,312,961 = 9,312,961/x
  3. Step 3: Cross multiply
    6,204,264x = 9,312,961 × 9,312,961
  4. Step 4: Simplify right side
    6,204,264x = 86,731,242,587,521
  5. Step 5: Solve for x
    x = 86,731,242,587,521/6,204,264
  6. Step 6: Final answer
    x = 13,979,295.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.