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Finding the Third Proportional to 4,785,340.78 and 7,355,415.09

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Solution

The third proportional to 4,785,340.78 and 7,355,415.09 is: 11,305,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785,340.78 : 7,355,415.09 = 7,355,415.09 : x
  2. Step 2: Convert to fraction form
    4,785,340.78/7,355,415.09 = 7,355,415.09/x
  3. Step 3: Cross multiply
    4,785,340.78x = 7,355,415.09 × 7,355,415.09
  4. Step 4: Simplify right side
    4,785,340.78x = 54,102,131,201,365.32
  5. Step 5: Solve for x
    x = 54,102,131,201,365.32/4,785,340.78
  6. Step 6: Final answer
    x = 11,305,805.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.