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Finding the Third Proportional to 6,435,710 and 9,443,181

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Solution

The third proportional to 6,435,710 and 9,443,181 is: 13,856,072.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435,710 : 9,443,181 = 9,443,181 : x
  2. Step 2: Convert to fraction form
    6,435,710/9,443,181 = 9,443,181/x
  3. Step 3: Cross multiply
    6,435,710x = 9,443,181 × 9,443,181
  4. Step 4: Simplify right side
    6,435,710x = 89,173,667,398,761
  5. Step 5: Solve for x
    x = 89,173,667,398,761/6,435,710
  6. Step 6: Final answer
    x = 13,856,072.97

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.