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Finding the Third Proportional to 6,738,243.75 and 11,001,780

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Solution

The third proportional to 6,738,243.75 and 11,001,780 is: 17,963,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738,243.75 : 11,001,780 = 11,001,780 : x
  2. Step 2: Convert to fraction form
    6,738,243.75/11,001,780 = 11,001,780/x
  3. Step 3: Cross multiply
    6,738,243.75x = 11,001,780 × 11,001,780
  4. Step 4: Simplify right side
    6,738,243.75x = 121,039,163,168,400
  5. Step 5: Solve for x
    x = 121,039,163,168,400/6,738,243.75
  6. Step 6: Final answer
    x = 17,963,013.46

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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.