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Finding the Third Proportional to 6,578,143,956.50 and 14,204,729,975

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Solution

The third proportional to 6,578,143,956.50 and 14,204,729,975 is: 30,673,447,555.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578,143,956.50 : 14,204,729,975 = 14,204,729,975 : x
  2. Step 2: Convert to fraction form
    6,578,143,956.50/14,204,729,975 = 14,204,729,975/x
  3. Step 3: Cross multiply
    6,578,143,956.50x = 14,204,729,975 × 14,204,729,975
  4. Step 4: Simplify right side
    6,578,143,956.50x = 201,774,353,662,663,491,584
  5. Step 5: Solve for x
    x = 201,774,353,662,663,491,584/6,578,143,956.50
  6. Step 6: Final answer
    x = 30,673,447,555.57

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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.