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Finding the Third Proportional to 6,283,517,347 and 9,370,786,093

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Solution

The third proportional to 6,283,517,347 and 9,370,786,093 is: 13,974,916,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,517,347 : 9,370,786,093 = 9,370,786,093 : x
  2. Step 2: Convert to fraction form
    6,283,517,347/9,370,786,093 = 9,370,786,093/x
  3. Step 3: Cross multiply
    6,283,517,347x = 9,370,786,093 × 9,370,786,093
  4. Step 4: Simplify right side
    6,283,517,347x = 87,811,632,000,762,200,064
  5. Step 5: Solve for x
    x = 87,811,632,000,762,200,064/6,283,517,347
  6. Step 6: Final answer
    x = 13,974,916,778.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.