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Finding the Third Proportional to 6,738,218.44 and 11,001,741.33

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Solution

The third proportional to 6,738,218.44 and 11,001,741.33 is: 17,962,954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738,218.44 : 11,001,741.33 = 11,001,741.33 : x
  2. Step 2: Convert to fraction form
    6,738,218.44/11,001,741.33 = 11,001,741.33/x
  3. Step 3: Cross multiply
    6,738,218.44x = 11,001,741.33 × 11,001,741.33
  4. Step 4: Simplify right side
    6,738,218.44x = 121,038,312,250,973.64
  5. Step 5: Solve for x
    x = 121,038,312,250,973.64/6,738,218.44
  6. Step 6: Final answer
    x = 17,962,954.66

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.