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Finding the Third Proportional to 2,429,620,492 and 3,628,509,616

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Solution

The third proportional to 2,429,620,492 and 3,628,509,616 is: 5,418,987,070.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,620,492 : 3,628,509,616 = 3,628,509,616 : x
  2. Step 2: Convert to fraction form
    2,429,620,492/3,628,509,616 = 3,628,509,616/x
  3. Step 3: Cross multiply
    2,429,620,492x = 3,628,509,616 × 3,628,509,616
  4. Step 4: Simplify right side
    2,429,620,492x = 13,166,082,033,404,467,200
  5. Step 5: Solve for x
    x = 13,166,082,033,404,467,200/2,429,620,492
  6. Step 6: Final answer
    x = 5,418,987,070.93

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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.