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Finding the Third Proportional to 6,141,762.75 and 9,633,783.75

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Solution

The third proportional to 6,141,762.75 and 9,633,783.75 is: 15,111,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141,762.75 : 9,633,783.75 = 9,633,783.75 : x
  2. Step 2: Convert to fraction form
    6,141,762.75/9,633,783.75 = 9,633,783.75/x
  3. Step 3: Cross multiply
    6,141,762.75x = 9,633,783.75 × 9,633,783.75
  4. Step 4: Simplify right side
    6,141,762.75x = 92,809,789,341,764.06
  5. Step 5: Solve for x
    x = 92,809,789,341,764.06/6,141,762.75
  6. Step 6: Final answer
    x = 15,111,262.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.