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Finding the Third Proportional to 4,665,724 and 6,671,993

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Solution

The third proportional to 4,665,724 and 6,671,993 is: 9,540,960.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665,724 : 6,671,993 = 6,671,993 : x
  2. Step 2: Convert to fraction form
    4,665,724/6,671,993 = 6,671,993/x
  3. Step 3: Cross multiply
    4,665,724x = 6,671,993 × 6,671,993
  4. Step 4: Simplify right side
    4,665,724x = 44,515,490,592,049
  5. Step 5: Solve for x
    x = 44,515,490,592,049/4,665,724
  6. Step 6: Final answer
    x = 9,540,960.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.