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Finding the Third Proportional to 6,306,462 and 9,617,166

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Solution

The third proportional to 6,306,462 and 9,617,166 is: 14,665,890.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306,462 : 9,617,166 = 9,617,166 : x
  2. Step 2: Convert to fraction form
    6,306,462/9,617,166 = 9,617,166/x
  3. Step 3: Cross multiply
    6,306,462x = 9,617,166 × 9,617,166
  4. Step 4: Simplify right side
    6,306,462x = 92,489,881,871,556
  5. Step 5: Solve for x
    x = 92,489,881,871,556/6,306,462
  6. Step 6: Final answer
    x = 14,665,890.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.