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Finding the Third Proportional to 10,277,306,541 and 16,353,215,064

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Solution

The third proportional to 10,277,306,541 and 16,353,215,064 is: 26,021,179,952.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277,306,541 : 16,353,215,064 = 16,353,215,064 : x
  2. Step 2: Convert to fraction form
    10,277,306,541/16,353,215,064 = 16,353,215,064/x
  3. Step 3: Cross multiply
    10,277,306,541x = 16,353,215,064 × 16,353,215,064
  4. Step 4: Simplify right side
    10,277,306,541x = 267,427,642,929,436,524,544
  5. Step 5: Solve for x
    x = 267,427,642,929,436,524,544/10,277,306,541
  6. Step 6: Final answer
    x = 26,021,179,952.41

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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.