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Finding the Third Proportional to 7,544,154,269 and 15,870,110,737

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Solution

The third proportional to 7,544,154,269 and 15,870,110,737 is: 33,384,844,188.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544,154,269 : 15,870,110,737 = 15,870,110,737 : x
  2. Step 2: Convert to fraction form
    7,544,154,269/15,870,110,737 = 15,870,110,737/x
  3. Step 3: Cross multiply
    7,544,154,269x = 15,870,110,737 × 15,870,110,737
  4. Step 4: Simplify right side
    7,544,154,269x = 251,860,414,804,642,693,120
  5. Step 5: Solve for x
    x = 251,860,414,804,642,693,120/7,544,154,269
  6. Step 6: Final answer
    x = 33,384,844,188.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.