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Finding the Third Proportional to 11,776,932 and 17,724,364

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Solution

The third proportional to 11,776,932 and 17,724,364 is: 26,675,290.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776,932 : 17,724,364 = 17,724,364 : x
  2. Step 2: Convert to fraction form
    11,776,932/17,724,364 = 17,724,364/x
  3. Step 3: Cross multiply
    11,776,932x = 17,724,364 × 17,724,364
  4. Step 4: Simplify right side
    11,776,932x = 314,153,079,204,496
  5. Step 5: Solve for x
    x = 314,153,079,204,496/11,776,932
  6. Step 6: Final answer
    x = 26,675,290.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.