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Finding the Third Proportional to 14,569,462,108 and 31,348,651,448

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Solution

The third proportional to 14,569,462,108 and 31,348,651,448 is: 67,451,903,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569,462,108 : 31,348,651,448 = 31,348,651,448 : x
  2. Step 2: Convert to fraction form
    14,569,462,108/31,348,651,448 = 31,348,651,448/x
  3. Step 3: Cross multiply
    14,569,462,108x = 31,348,651,448 × 31,348,651,448
  4. Step 4: Simplify right side
    14,569,462,108x = 982,737,947,608,192,516,096
  5. Step 5: Solve for x
    x = 982,737,947,608,192,516,096/14,569,462,108
  6. Step 6: Final answer
    x = 67,451,903,187.87

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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.