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Finding the Third Proportional to 22,717,584 and 49,844,160

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Solution

The third proportional to 22,717,584 and 49,844,160 is: 109,361,994.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,717,584 : 49,844,160 = 49,844,160 : x
  2. Step 2: Convert to fraction form
    22,717,584/49,844,160 = 49,844,160/x
  3. Step 3: Cross multiply
    22,717,584x = 49,844,160 × 49,844,160
  4. Step 4: Simplify right side
    22,717,584x = 2,484,440,286,105,600
  5. Step 5: Solve for x
    x = 2,484,440,286,105,600/22,717,584
  6. Step 6: Final answer
    x = 109,361,994.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.