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Finding the Third Proportional to 295,260,048 and 689,860,728

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Solution

The third proportional to 295,260,048 and 689,860,728 is: 1,611,826,006.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,260,048 : 689,860,728 = 689,860,728 : x
  2. Step 2: Convert to fraction form
    295,260,048/689,860,728 = 689,860,728/x
  3. Step 3: Cross multiply
    295,260,048x = 689,860,728 × 689,860,728
  4. Step 4: Simplify right side
    295,260,048x = 475,907,824,036,689,984
  5. Step 5: Solve for x
    x = 475,907,824,036,689,984/295,260,048
  6. Step 6: Final answer
    x = 1,611,826,006.47

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.