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Finding the Third Proportional to 22,082,984 and 48,260,012

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Solution

The third proportional to 22,082,984 and 48,260,012 is: 105,467,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,082,984 : 48,260,012 = 48,260,012 : x
  2. Step 2: Convert to fraction form
    22,082,984/48,260,012 = 48,260,012/x
  3. Step 3: Cross multiply
    22,082,984x = 48,260,012 × 48,260,012
  4. Step 4: Simplify right side
    22,082,984x = 2,329,028,758,240,144
  5. Step 5: Solve for x
    x = 2,329,028,758,240,144/22,082,984
  6. Step 6: Final answer
    x = 105,467,121.57

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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.