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Finding the Third Proportional to 47,624,980 and 100,972,624

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Solution

The third proportional to 47,624,980 and 100,972,624 is: 214,078,216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,624,980 : 100,972,624 = 100,972,624 : x
  2. Step 2: Convert to fraction form
    47,624,980/100,972,624 = 100,972,624/x
  3. Step 3: Cross multiply
    47,624,980x = 100,972,624 × 100,972,624
  4. Step 4: Simplify right side
    47,624,980x = 10,195,470,797,445,376
  5. Step 5: Solve for x
    x = 10,195,470,797,445,376/47,624,980
  6. Step 6: Final answer
    x = 214,078,216.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.