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Finding the Third Proportional to 23,163,771 and 49,405,421

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Solution

The third proportional to 23,163,771 and 49,405,421 is: 105,375,572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,163,771 : 49,405,421 = 49,405,421 : x
  2. Step 2: Convert to fraction form
    23,163,771/49,405,421 = 49,405,421/x
  3. Step 3: Cross multiply
    23,163,771x = 49,405,421 × 49,405,421
  4. Step 4: Simplify right side
    23,163,771x = 2,440,895,624,187,241
  5. Step 5: Solve for x
    x = 2,440,895,624,187,241/23,163,771
  6. Step 6: Final answer
    x = 105,375,572.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.