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Finding the Third Proportional to 5,102,524,305 and 7,986,844,152

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Solution

The third proportional to 5,102,524,305 and 7,986,844,152 is: 12,501,592,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102,524,305 : 7,986,844,152 = 7,986,844,152 : x
  2. Step 2: Convert to fraction form
    5,102,524,305/7,986,844,152 = 7,986,844,152/x
  3. Step 3: Cross multiply
    5,102,524,305x = 7,986,844,152 × 7,986,844,152
  4. Step 4: Simplify right side
    5,102,524,305x = 63,789,679,508,336,599,040
  5. Step 5: Solve for x
    x = 63,789,679,508,336,599,040/5,102,524,305
  6. Step 6: Final answer
    x = 12,501,592,485.47

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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.