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Finding the Third Proportional to 22,111,704 and 47,845,296

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Solution

The third proportional to 22,111,704 and 47,845,296 is: 103,527,631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,111,704 : 47,845,296 = 47,845,296 : x
  2. Step 2: Convert to fraction form
    22,111,704/47,845,296 = 47,845,296/x
  3. Step 3: Cross multiply
    22,111,704x = 47,845,296 × 47,845,296
  4. Step 4: Simplify right side
    22,111,704x = 2,289,172,349,327,616
  5. Step 5: Solve for x
    x = 2,289,172,349,327,616/22,111,704
  6. Step 6: Final answer
    x = 103,527,631.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.