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Finding the Third Proportional to 6,579,834 and 9,814,983

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Solution

The third proportional to 6,579,834 and 9,814,983 is: 14,640,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579,834 : 9,814,983 = 9,814,983 : x
  2. Step 2: Convert to fraction form
    6,579,834/9,814,983 = 9,814,983/x
  3. Step 3: Cross multiply
    6,579,834x = 9,814,983 × 9,814,983
  4. Step 4: Simplify right side
    6,579,834x = 96,333,891,290,289
  5. Step 5: Solve for x
    x = 96,333,891,290,289/6,579,834
  6. Step 6: Final answer
    x = 14,640,778.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.