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Finding the Third Proportional to 1,455,455,244 and 2,376,376,169

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Solution

The third proportional to 1,455,455,244 and 2,376,376,169 is: 3,879,998,179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455,455,244 : 2,376,376,169 = 2,376,376,169 : x
  2. Step 2: Convert to fraction form
    1,455,455,244/2,376,376,169 = 2,376,376,169/x
  3. Step 3: Cross multiply
    1,455,455,244x = 2,376,376,169 × 2,376,376,169
  4. Step 4: Simplify right side
    1,455,455,244x = 5,647,163,696,591,116,288
  5. Step 5: Solve for x
    x = 5,647,163,696,591,116,288/1,455,455,244
  6. Step 6: Final answer
    x = 3,879,998,179.18

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.