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Finding the Third Proportional to 11,776,760 and 17,724,108

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Solution

The third proportional to 11,776,760 and 17,724,108 is: 26,674,909.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776,760 : 17,724,108 = 17,724,108 : x
  2. Step 2: Convert to fraction form
    11,776,760/17,724,108 = 17,724,108/x
  3. Step 3: Cross multiply
    11,776,760x = 17,724,108 × 17,724,108
  4. Step 4: Simplify right side
    11,776,760x = 314,144,004,395,664
  5. Step 5: Solve for x
    x = 314,144,004,395,664/11,776,760
  6. Step 6: Final answer
    x = 26,674,909.26

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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.