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Finding the Third Proportional to 47,624,982 and 100,972,628

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Solution

The third proportional to 47,624,982 and 100,972,628 is: 214,078,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,624,982 : 100,972,628 = 100,972,628 : x
  2. Step 2: Convert to fraction form
    47,624,982/100,972,628 = 100,972,628/x
  3. Step 3: Cross multiply
    47,624,982x = 100,972,628 × 100,972,628
  4. Step 4: Simplify right side
    47,624,982x = 10,195,471,605,226,384
  5. Step 5: Solve for x
    x = 10,195,471,605,226,384/47,624,982
  6. Step 6: Final answer
    x = 214,078,224.85

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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.