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Finding the Third Proportional to 14,569,462,122 and 31,348,651,474

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Solution

The third proportional to 14,569,462,122 and 31,348,651,474 is: 67,451,903,234.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569,462,122 : 31,348,651,474 = 31,348,651,474 : x
  2. Step 2: Convert to fraction form
    14,569,462,122/31,348,651,474 = 31,348,651,474/x
  3. Step 3: Cross multiply
    14,569,462,122x = 31,348,651,474 × 31,348,651,474
  4. Step 4: Simplify right side
    14,569,462,122x = 982,737,949,238,322,397,184
  5. Step 5: Solve for x
    x = 982,737,949,238,322,397,184/14,569,462,122
  6. Step 6: Final answer
    x = 67,451,903,234.94

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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.