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Finding the Third Proportional to 6,286,023,499 and 13,688,073,097

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Solution

The third proportional to 6,286,023,499 and 13,688,073,097 is: 29,806,338,639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286,023,499 : 13,688,073,097 = 13,688,073,097 : x
  2. Step 2: Convert to fraction form
    6,286,023,499/13,688,073,097 = 13,688,073,097/x
  3. Step 3: Cross multiply
    6,286,023,499x = 13,688,073,097 × 13,688,073,097
  4. Step 4: Simplify right side
    6,286,023,499x = 187,363,345,108,815,183,872
  5. Step 5: Solve for x
    x = 187,363,345,108,815,183,872/6,286,023,499
  6. Step 6: Final answer
    x = 29,806,338,639.78

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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.