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Finding the Third Proportional to 9,783,578 and 20,751,057

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Solution

The third proportional to 9,783,578 and 20,751,057 is: 44,013,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783,578 : 20,751,057 = 20,751,057 : x
  2. Step 2: Convert to fraction form
    9,783,578/20,751,057 = 20,751,057/x
  3. Step 3: Cross multiply
    9,783,578x = 20,751,057 × 20,751,057
  4. Step 4: Simplify right side
    9,783,578x = 430,606,366,617,249
  5. Step 5: Solve for x
    x = 430,606,366,617,249/9,783,578
  6. Step 6: Final answer
    x = 44,013,178.68

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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.