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Finding the Third Proportional to 5,102,524,296 and 7,986,844,139

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Solution

The third proportional to 5,102,524,296 and 7,986,844,139 is: 12,501,592,466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102,524,296 : 7,986,844,139 = 7,986,844,139 : x
  2. Step 2: Convert to fraction form
    5,102,524,296/7,986,844,139 = 7,986,844,139/x
  3. Step 3: Cross multiply
    5,102,524,296x = 7,986,844,139 × 7,986,844,139
  4. Step 4: Simplify right side
    5,102,524,296x = 63,789,679,300,678,647,808
  5. Step 5: Solve for x
    x = 63,789,679,300,678,647,808/5,102,524,296
  6. Step 6: Final answer
    x = 12,501,592,466.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.