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Finding the Third Proportional to 6,286,023,496.50 and 13,688,073,093

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Solution

The third proportional to 6,286,023,496.50 and 13,688,073,093 is: 29,806,338,634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286,023,496.50 : 13,688,073,093 = 13,688,073,093 : x
  2. Step 2: Convert to fraction form
    6,286,023,496.50/13,688,073,093 = 13,688,073,093/x
  3. Step 3: Cross multiply
    6,286,023,496.50x = 13,688,073,093 × 13,688,073,093
  4. Step 4: Simplify right side
    6,286,023,496.50x = 187,363,344,999,310,589,952
  5. Step 5: Solve for x
    x = 187,363,344,999,310,589,952/6,286,023,496.50
  6. Step 6: Final answer
    x = 29,806,338,634.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.