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Finding the Third Proportional to 14,234,524,390 and 30,611,295,756

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Solution

The third proportional to 14,234,524,390 and 30,611,295,756 is: 65,829,486,267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234,524,390 : 30,611,295,756 = 30,611,295,756 : x
  2. Step 2: Convert to fraction form
    14,234,524,390/30,611,295,756 = 30,611,295,756/x
  3. Step 3: Cross multiply
    14,234,524,390x = 30,611,295,756 × 30,611,295,756
  4. Step 4: Simplify right side
    14,234,524,390x = 937,051,427,861,303,656,448
  5. Step 5: Solve for x
    x = 937,051,427,861,303,656,448/14,234,524,390
  6. Step 6: Final answer
    x = 65,829,486,267.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.