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Finding the Third Proportional to 611,690,651,692 and 959,562,136,446

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Solution

The third proportional to 611,690,651,692 and 959,562,136,446 is: 1,505,269,847,027.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,690,651,692 : 959,562,136,446 = 959,562,136,446 : x
  2. Step 2: Convert to fraction form
    611,690,651,692/959,562,136,446 = 959,562,136,446/x
  3. Step 3: Cross multiply
    611,690,651,692x = 959,562,136,446 × 959,562,136,446
  4. Step 4: Simplify right side
    611,690,651,692x = 920,759,493,700,811,915,001,856
  5. Step 5: Solve for x
    x = 920,759,493,700,811,915,001,856/611,690,651,692
  6. Step 6: Final answer
    x = 1,505,269,847,027.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.