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Finding the Third Proportional to 6,738,242.25 and 11,001,778.50

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Solution

The third proportional to 6,738,242.25 and 11,001,778.50 is: 17,963,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738,242.25 : 11,001,778.50 = 11,001,778.50 : x
  2. Step 2: Convert to fraction form
    6,738,242.25/11,001,778.50 = 11,001,778.50/x
  3. Step 3: Cross multiply
    6,738,242.25x = 11,001,778.50 × 11,001,778.50
  4. Step 4: Simplify right side
    6,738,242.25x = 121,039,130,163,062.25
  5. Step 5: Solve for x
    x = 121,039,130,163,062.25/6,738,242.25
  6. Step 6: Final answer
    x = 17,963,012.56

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