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Finding the Third Proportional to 8,728,327,780 and 19,146,504,774

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Solution

The third proportional to 8,728,327,780 and 19,146,504,774 is: 41,999,871,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,728,327,780 : 19,146,504,774 = 19,146,504,774 : x
  2. Step 2: Convert to fraction form
    8,728,327,780/19,146,504,774 = 19,146,504,774/x
  3. Step 3: Cross multiply
    8,728,327,780x = 19,146,504,774 × 19,146,504,774
  4. Step 4: Simplify right side
    8,728,327,780x = 366,588,645,060,804,804,608
  5. Step 5: Solve for x
    x = 366,588,645,060,804,804,608/8,728,327,780
  6. Step 6: Final answer
    x = 41,999,871,487.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.