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Finding the Third Proportional to 2,956,363.06 and 6,374,183.13

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Solution

The third proportional to 2,956,363.06 and 6,374,183.13 is: 13,743,308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956,363.06 : 6,374,183.13 = 6,374,183.13 : x
  2. Step 2: Convert to fraction form
    2,956,363.06/6,374,183.13 = 6,374,183.13/x
  3. Step 3: Cross multiply
    2,956,363.06x = 6,374,183.13 × 6,374,183.13
  4. Step 4: Simplify right side
    2,956,363.06x = 40,630,210,511,034.77
  5. Step 5: Solve for x
    x = 40,630,210,511,034.77/2,956,363.06
  6. Step 6: Final answer
    x = 13,743,308.81

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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.