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Finding the Third Proportional to 6,928,855,226 and 16,167,887,632

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Solution

The third proportional to 6,928,855,226 and 16,167,887,632 is: 37,726,374,986.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928,855,226 : 16,167,887,632 = 16,167,887,632 : x
  2. Step 2: Convert to fraction form
    6,928,855,226/16,167,887,632 = 16,167,887,632/x
  3. Step 3: Cross multiply
    6,928,855,226x = 16,167,887,632 × 16,167,887,632
  4. Step 4: Simplify right side
    6,928,855,226x = 261,400,590,480,978,575,360
  5. Step 5: Solve for x
    x = 261,400,590,480,978,575,360/6,928,855,226
  6. Step 6: Final answer
    x = 37,726,374,986.17

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.