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Finding the Third Proportional to 2,156,415,813 and 3,081,568,099.50

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Solution

The third proportional to 2,156,415,813 and 3,081,568,099.50 is: 4,403,632,126.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156,415,813 : 3,081,568,099.50 = 3,081,568,099.50 : x
  2. Step 2: Convert to fraction form
    2,156,415,813/3,081,568,099.50 = 3,081,568,099.50/x
  3. Step 3: Cross multiply
    2,156,415,813x = 3,081,568,099.50 × 3,081,568,099.50
  4. Step 4: Simplify right side
    2,156,415,813x = 9,496,061,951,856,041,984
  5. Step 5: Solve for x
    x = 9,496,061,951,856,041,984/2,156,415,813
  6. Step 6: Final answer
    x = 4,403,632,126.33

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.