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Finding the Third Proportional to 47,078,812 and 99,757,964

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Solution

The third proportional to 47,078,812 and 99,757,964 is: 211,382,805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,078,812 : 99,757,964 = 99,757,964 : x
  2. Step 2: Convert to fraction form
    47,078,812/99,757,964 = 99,757,964/x
  3. Step 3: Cross multiply
    47,078,812x = 99,757,964 × 99,757,964
  4. Step 4: Simplify right side
    47,078,812x = 9,951,651,381,425,296
  5. Step 5: Solve for x
    x = 9,951,651,381,425,296/47,078,812
  6. Step 6: Final answer
    x = 211,382,805.95

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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.