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Finding the Third Proportional to 5,972,725.13 and 9,223,128.56

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Solution

The third proportional to 5,972,725.13 and 9,223,128.56 is: 14,242,426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972,725.13 : 9,223,128.56 = 9,223,128.56 : x
  2. Step 2: Convert to fraction form
    5,972,725.13/9,223,128.56 = 9,223,128.56/x
  3. Step 3: Cross multiply
    5,972,725.13x = 9,223,128.56 × 9,223,128.56
  4. Step 4: Simplify right side
    5,972,725.13x = 85,066,100,480,403.31
  5. Step 5: Solve for x
    x = 85,066,100,480,403.31/5,972,725.13
  6. Step 6: Final answer
    x = 14,242,426.82

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