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Finding the Third Proportional to 1,309,444,191 and 2,836,837,782

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Solution

The third proportional to 1,309,444,191 and 2,836,837,782 is: 6,145,850,779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,444,191 : 2,836,837,782 = 2,836,837,782 : x
  2. Step 2: Convert to fraction form
    1,309,444,191/2,836,837,782 = 2,836,837,782/x
  3. Step 3: Cross multiply
    1,309,444,191x = 2,836,837,782 × 2,836,837,782
  4. Step 4: Simplify right side
    1,309,444,191x = 8,047,648,601,382,679,552
  5. Step 5: Solve for x
    x = 8,047,648,601,382,679,552/1,309,444,191
  6. Step 6: Final answer
    x = 6,145,850,779.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.