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Finding the Third Proportional to 14,569,462,107 and 31,348,651,446

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Solution

The third proportional to 14,569,462,107 and 31,348,651,446 is: 67,451,903,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569,462,107 : 31,348,651,446 = 31,348,651,446 : x
  2. Step 2: Convert to fraction form
    14,569,462,107/31,348,651,446 = 31,348,651,446/x
  3. Step 3: Cross multiply
    14,569,462,107x = 31,348,651,446 × 31,348,651,446
  4. Step 4: Simplify right side
    14,569,462,107x = 982,737,947,482,797,899,776
  5. Step 5: Solve for x
    x = 982,737,947,482,797,899,776/14,569,462,107
  6. Step 6: Final answer
    x = 67,451,903,183.90

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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.