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Finding the Third Proportional to 14,569,462,124 and 31,348,651,478

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Solution

The third proportional to 14,569,462,124 and 31,348,651,478 is: 67,451,903,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569,462,124 : 31,348,651,478 = 31,348,651,478 : x
  2. Step 2: Convert to fraction form
    14,569,462,124/31,348,651,478 = 31,348,651,478/x
  3. Step 3: Cross multiply
    14,569,462,124x = 31,348,651,478 × 31,348,651,478
  4. Step 4: Simplify right side
    14,569,462,124x = 982,737,949,489,111,629,824
  5. Step 5: Solve for x
    x = 982,737,949,489,111,629,824/14,569,462,124
  6. Step 6: Final answer
    x = 67,451,903,242.90

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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.