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Finding the Third Proportional to 6,640,268.63 and 9,770,518.69

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Solution

The third proportional to 6,640,268.63 and 9,770,518.69 is: 14,376,381.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640,268.63 : 9,770,518.69 = 9,770,518.69 : x
  2. Step 2: Convert to fraction form
    6,640,268.63/9,770,518.69 = 9,770,518.69/x
  3. Step 3: Cross multiply
    6,640,268.63x = 9,770,518.69 × 9,770,518.69
  4. Step 4: Simplify right side
    6,640,268.63x = 95,463,035,422,786.72
  5. Step 5: Solve for x
    x = 95,463,035,422,786.72/6,640,268.63
  6. Step 6: Final answer
    x = 14,376,381.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.