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Finding the Third Proportional to 2,429,620,498 and 3,628,509,630

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Solution

The third proportional to 2,429,620,498 and 3,628,509,630 is: 5,418,987,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,620,498 : 3,628,509,630 = 3,628,509,630 : x
  2. Step 2: Convert to fraction form
    2,429,620,498/3,628,509,630 = 3,628,509,630/x
  3. Step 3: Cross multiply
    2,429,620,498x = 3,628,509,630 × 3,628,509,630
  4. Step 4: Simplify right side
    2,429,620,498x = 13,166,082,135,002,736,640
  5. Step 5: Solve for x
    x = 13,166,082,135,002,736,640/2,429,620,498
  6. Step 6: Final answer
    x = 5,418,987,099.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.