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Finding the Third Proportional to 6,084,208.69 and 9,279,790.31

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Solution

The third proportional to 6,084,208.69 and 9,279,790.31 is: 14,153,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084,208.69 : 9,279,790.31 = 9,279,790.31 : x
  2. Step 2: Convert to fraction form
    6,084,208.69/9,279,790.31 = 9,279,790.31/x
  3. Step 3: Cross multiply
    6,084,208.69x = 9,279,790.31 × 9,279,790.31
  4. Step 4: Simplify right side
    6,084,208.69x = 86,114,508,243,968.84
  5. Step 5: Solve for x
    x = 86,114,508,243,968.84/6,084,208.69
  6. Step 6: Final answer
    x = 14,153,772.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.