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Finding the Third Proportional to 9,088,786 and 19,454,132

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Solution

The third proportional to 9,088,786 and 19,454,132 is: 41,640,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,088,786 : 19,454,132 = 19,454,132 : x
  2. Step 2: Convert to fraction form
    9,088,786/19,454,132 = 19,454,132/x
  3. Step 3: Cross multiply
    9,088,786x = 19,454,132 × 19,454,132
  4. Step 4: Simplify right side
    9,088,786x = 378,463,251,873,424
  5. Step 5: Solve for x
    x = 378,463,251,873,424/9,088,786
  6. Step 6: Final answer
    x = 41,640,682.47

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Why These Related Problems?

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