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Finding the Third Proportional to 9,786,106 and 20,464,508

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Solution

The third proportional to 9,786,106 and 20,464,508 is: 42,794,967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786,106 : 20,464,508 = 20,464,508 : x
  2. Step 2: Convert to fraction form
    9,786,106/20,464,508 = 20,464,508/x
  3. Step 3: Cross multiply
    9,786,106x = 20,464,508 × 20,464,508
  4. Step 4: Simplify right side
    9,786,106x = 418,796,087,682,064
  5. Step 5: Solve for x
    x = 418,796,087,682,064/9,786,106
  6. Step 6: Final answer
    x = 42,794,967.44

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.