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Finding the Third Proportional to 5,580,305.16 and 11,957,771.81

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Solution

The third proportional to 5,580,305.16 and 11,957,771.81 is: 25,623,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580,305.16 : 11,957,771.81 = 11,957,771.81 : x
  2. Step 2: Convert to fraction form
    5,580,305.16/11,957,771.81 = 11,957,771.81/x
  3. Step 3: Cross multiply
    5,580,305.16x = 11,957,771.81 × 11,957,771.81
  4. Step 4: Simplify right side
    5,580,305.16x = 142,988,306,719,819.53
  5. Step 5: Solve for x
    x = 142,988,306,719,819.53/5,580,305.16
  6. Step 6: Final answer
    x = 25,623,743.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.