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Finding the Third Proportional to 6,381,506 and 13,660,022

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Solution

The third proportional to 6,381,506 and 13,660,022 is: 29,240,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381,506 : 13,660,022 = 13,660,022 : x
  2. Step 2: Convert to fraction form
    6,381,506/13,660,022 = 13,660,022/x
  3. Step 3: Cross multiply
    6,381,506x = 13,660,022 × 13,660,022
  4. Step 4: Simplify right side
    6,381,506x = 186,596,201,040,484
  5. Step 5: Solve for x
    x = 186,596,201,040,484/6,381,506
  6. Step 6: Final answer
    x = 29,240,151.31

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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.