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Finding the Third Proportional to 6,180,546.94 and 9,092,203.31

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Solution

The third proportional to 6,180,546.94 and 9,092,203.31 is: 13,375,541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180,546.94 : 9,092,203.31 = 9,092,203.31 : x
  2. Step 2: Convert to fraction form
    6,180,546.94/9,092,203.31 = 9,092,203.31/x
  3. Step 3: Cross multiply
    6,180,546.94x = 9,092,203.31 × 9,092,203.31
  4. Step 4: Simplify right side
    6,180,546.94x = 82,668,161,075,835.97
  5. Step 5: Solve for x
    x = 82,668,161,075,835.97/6,180,546.94
  6. Step 6: Final answer
    x = 13,375,541.34

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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.