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Finding the Third Proportional to 47,022,873 and 101,892,807

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Solution

The third proportional to 47,022,873 and 101,892,807 is: 220,789,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,022,873 : 101,892,807 = 101,892,807 : x
  2. Step 2: Convert to fraction form
    47,022,873/101,892,807 = 101,892,807/x
  3. Step 3: Cross multiply
    47,022,873x = 101,892,807 × 101,892,807
  4. Step 4: Simplify right side
    47,022,873x = 10,382,144,118,339,248
  5. Step 5: Solve for x
    x = 10,382,144,118,339,248/47,022,873
  6. Step 6: Final answer
    x = 220,789,234.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.