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Finding the Third Proportional to 9,318,786 and 19,932,964

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Solution

The third proportional to 9,318,786 and 19,932,964 is: 42,636,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318,786 : 19,932,964 = 19,932,964 : x
  2. Step 2: Convert to fraction form
    9,318,786/19,932,964 = 19,932,964/x
  3. Step 3: Cross multiply
    9,318,786x = 19,932,964 × 19,932,964
  4. Step 4: Simplify right side
    9,318,786x = 397,323,053,825,296
  5. Step 5: Solve for x
    x = 397,323,053,825,296/9,318,786
  6. Step 6: Final answer
    x = 42,636,782.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.