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Finding the Third Proportional to 2,961,263.81 and 6,408,279.56

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Solution

The third proportional to 2,961,263.81 and 6,408,279.56 is: 13,867,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961,263.81 : 6,408,279.56 = 6,408,279.56 : x
  2. Step 2: Convert to fraction form
    2,961,263.81/6,408,279.56 = 6,408,279.56/x
  3. Step 3: Cross multiply
    2,961,263.81x = 6,408,279.56 × 6,408,279.56
  4. Step 4: Simplify right side
    2,961,263.81x = 41,066,046,951,155.19
  5. Step 5: Solve for x
    x = 41,066,046,951,155.19/2,961,263.81
  6. Step 6: Final answer
    x = 13,867,743.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.