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Finding the Third Proportional to 8,905,965 and 19,451,634

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Solution

The third proportional to 8,905,965 and 19,451,634 is: 42,484,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,905,965 : 19,451,634 = 19,451,634 : x
  2. Step 2: Convert to fraction form
    8,905,965/19,451,634 = 19,451,634/x
  3. Step 3: Cross multiply
    8,905,965x = 19,451,634 × 19,451,634
  4. Step 4: Simplify right side
    8,905,965x = 378,366,065,269,956
  5. Step 5: Solve for x
    x = 378,366,065,269,956/8,905,965
  6. Step 6: Final answer
    x = 42,484,566.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.