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Finding the Third Proportional to 3,286,274,363 and 7,749,947,334

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Solution

The third proportional to 3,286,274,363 and 7,749,947,334 is: 18,276,527,473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286,274,363 : 7,749,947,334 = 7,749,947,334 : x
  2. Step 2: Convert to fraction form
    3,286,274,363/7,749,947,334 = 7,749,947,334/x
  3. Step 3: Cross multiply
    3,286,274,363x = 7,749,947,334 × 7,749,947,334
  4. Step 4: Simplify right side
    3,286,274,363x = 60,061,683,679,773,704,192
  5. Step 5: Solve for x
    x = 60,061,683,679,773,704,192/3,286,274,363
  6. Step 6: Final answer
    x = 18,276,527,473.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.