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Finding the Third Proportional to 11,776,902 and 17,724,318

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Solution

The third proportional to 11,776,902 and 17,724,318 is: 26,675,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776,902 : 17,724,318 = 17,724,318 : x
  2. Step 2: Convert to fraction form
    11,776,902/17,724,318 = 17,724,318/x
  3. Step 3: Cross multiply
    11,776,902x = 17,724,318 × 17,724,318
  4. Step 4: Simplify right side
    11,776,902x = 314,151,448,565,124
  5. Step 5: Solve for x
    x = 314,151,448,565,124/11,776,902
  6. Step 6: Final answer
    x = 26,675,219.73

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Why These Related Problems?

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