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Finding the Third Proportional to 1,416,834,990 and 2,222,394,651

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Solution

The third proportional to 1,416,834,990 and 2,222,394,651 is: 3,485,965,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,834,990 : 2,222,394,651 = 2,222,394,651 : x
  2. Step 2: Convert to fraction form
    1,416,834,990/2,222,394,651 = 2,222,394,651/x
  3. Step 3: Cross multiply
    1,416,834,990x = 2,222,394,651 × 2,222,394,651
  4. Step 4: Simplify right side
    1,416,834,990x = 4,939,037,984,793,411,584
  5. Step 5: Solve for x
    x = 4,939,037,984,793,411,584/1,416,834,990
  6. Step 6: Final answer
    x = 3,485,965,563.85

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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.