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Finding the Third Proportional to 2,629,922,436 and 3,948,343,002

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Solution

The third proportional to 2,629,922,436 and 3,948,343,002 is: 5,927,708,075.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629,922,436 : 3,948,343,002 = 3,948,343,002 : x
  2. Step 2: Convert to fraction form
    2,629,922,436/3,948,343,002 = 3,948,343,002/x
  3. Step 3: Cross multiply
    2,629,922,436x = 3,948,343,002 × 3,948,343,002
  4. Step 4: Simplify right side
    2,629,922,436x = 15,589,412,461,442,371,584
  5. Step 5: Solve for x
    x = 15,589,412,461,442,371,584/2,629,922,436
  6. Step 6: Final answer
    x = 5,927,708,075.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.