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Finding the Third Proportional to 9,036,834 and 19,542,052

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Solution

The third proportional to 9,036,834 and 19,542,052 is: 42,259,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,036,834 : 19,542,052 = 19,542,052 : x
  2. Step 2: Convert to fraction form
    9,036,834/19,542,052 = 19,542,052/x
  3. Step 3: Cross multiply
    9,036,834x = 19,542,052 × 19,542,052
  4. Step 4: Simplify right side
    9,036,834x = 381,891,796,370,704
  5. Step 5: Solve for x
    x = 381,891,796,370,704/9,036,834
  6. Step 6: Final answer
    x = 42,259,467.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.