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Finding the Third Proportional to 6,069,022 and 13,003,710

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Solution

The third proportional to 6,069,022 and 13,003,710 is: 27,862,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069,022 : 13,003,710 = 13,003,710 : x
  2. Step 2: Convert to fraction form
    6,069,022/13,003,710 = 13,003,710/x
  3. Step 3: Cross multiply
    6,069,022x = 13,003,710 × 13,003,710
  4. Step 4: Simplify right side
    6,069,022x = 169,096,473,764,100
  5. Step 5: Solve for x
    x = 169,096,473,764,100/6,069,022
  6. Step 6: Final answer
    x = 27,862,227.85

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.