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Finding the Third Proportional to 10,277,306,561 and 16,353,215,094

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Solution

The third proportional to 10,277,306,561 and 16,353,215,094 is: 26,021,179,997.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277,306,561 : 16,353,215,094 = 16,353,215,094 : x
  2. Step 2: Convert to fraction form
    10,277,306,561/16,353,215,094 = 16,353,215,094/x
  3. Step 3: Cross multiply
    10,277,306,561x = 16,353,215,094 × 16,353,215,094
  4. Step 4: Simplify right side
    10,277,306,561x = 267,427,643,910,629,425,152
  5. Step 5: Solve for x
    x = 267,427,643,910,629,425,152/10,277,306,561
  6. Step 6: Final answer
    x = 26,021,179,997.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.