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Finding the Third Proportional to 22,298,784 and 49,373,190

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Solution

The third proportional to 22,298,784 and 49,373,190 is: 109,320,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,298,784 : 49,373,190 = 49,373,190 : x
  2. Step 2: Convert to fraction form
    22,298,784/49,373,190 = 49,373,190/x
  3. Step 3: Cross multiply
    22,298,784x = 49,373,190 × 49,373,190
  4. Step 4: Simplify right side
    22,298,784x = 2,437,711,890,776,100
  5. Step 5: Solve for x
    x = 2,437,711,890,776,100/22,298,784
  6. Step 6: Final answer
    x = 109,320,395.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.