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Finding the Third Proportional to 22,949,784 and 49,937,013

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Solution

The third proportional to 22,949,784 and 49,937,013 is: 108,659,204.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,949,784 : 49,937,013 = 49,937,013 : x
  2. Step 2: Convert to fraction form
    22,949,784/49,937,013 = 49,937,013/x
  3. Step 3: Cross multiply
    22,949,784x = 49,937,013 × 49,937,013
  4. Step 4: Simplify right side
    22,949,784x = 2,493,705,267,362,169
  5. Step 5: Solve for x
    x = 2,493,705,267,362,169/22,949,784
  6. Step 6: Final answer
    x = 108,659,204.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.