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Finding the Third Proportional to 3,400,968,659,685 and 7,495,163,062,700

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Solution

The third proportional to 3,400,968,659,685 and 7,495,163,062,700 is: 16,518,079,099,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400,968,659,685 : 7,495,163,062,700 = 7,495,163,062,700 : x
  2. Step 2: Convert to fraction form
    3,400,968,659,685/7,495,163,062,700 = 7,495,163,062,700/x
  3. Step 3: Cross multiply
    3,400,968,659,685x = 7,495,163,062,700 × 7,495,163,062,700
  4. Step 4: Simplify right side
    3,400,968,659,685x = 56,177,469,336,462,447,393,898,496
  5. Step 5: Solve for x
    x = 56,177,469,336,462,447,393,898,496/3,400,968,659,685
  6. Step 6: Final answer
    x = 16,518,079,099,754.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.