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Finding the Third Proportional to 919,257,264 and 1,965,916,512

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Solution

The third proportional to 919,257,264 and 1,965,916,512 is: 4,204,293,926.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,257,264 : 1,965,916,512 = 1,965,916,512 : x
  2. Step 2: Convert to fraction form
    919,257,264/1,965,916,512 = 1,965,916,512/x
  3. Step 3: Cross multiply
    919,257,264x = 1,965,916,512 × 1,965,916,512
  4. Step 4: Simplify right side
    919,257,264x = 3,864,827,732,154,246,144
  5. Step 5: Solve for x
    x = 3,864,827,732,154,246,144/919,257,264
  6. Step 6: Final answer
    x = 4,204,293,926.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.