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Finding the Third Proportional to 6,768,576 and 11,111,121

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Solution

The third proportional to 6,768,576 and 11,111,121 is: 18,239,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768,576 : 11,111,121 = 11,111,121 : x
  2. Step 2: Convert to fraction form
    6,768,576/11,111,121 = 11,111,121/x
  3. Step 3: Cross multiply
    6,768,576x = 11,111,121 × 11,111,121
  4. Step 4: Simplify right side
    6,768,576x = 123,457,009,876,641
  5. Step 5: Solve for x
    x = 123,457,009,876,641/6,768,576
  6. Step 6: Final answer
    x = 18,239,731.65

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.