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Finding the Third Proportional to 21,908,832 and 47,453,253

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Solution

The third proportional to 21,908,832 and 47,453,253 is: 102,780,979.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,908,832 : 47,453,253 = 47,453,253 : x
  2. Step 2: Convert to fraction form
    21,908,832/47,453,253 = 47,453,253/x
  3. Step 3: Cross multiply
    21,908,832x = 47,453,253 × 47,453,253
  4. Step 4: Simplify right side
    21,908,832x = 2,251,811,220,282,009
  5. Step 5: Solve for x
    x = 2,251,811,220,282,009/21,908,832
  6. Step 6: Final answer
    x = 102,780,979.85

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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.