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Finding the Third Proportional to 1,594,277,283 and 2,244,115,414

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Solution

The third proportional to 1,594,277,283 and 2,244,115,414 is: 3,158,831,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594,277,283 : 2,244,115,414 = 2,244,115,414 : x
  2. Step 2: Convert to fraction form
    1,594,277,283/2,244,115,414 = 2,244,115,414/x
  3. Step 3: Cross multiply
    1,594,277,283x = 2,244,115,414 × 2,244,115,414
  4. Step 4: Simplify right side
    1,594,277,283x = 5,036,053,991,352,391,680
  5. Step 5: Solve for x
    x = 5,036,053,991,352,391,680/1,594,277,283
  6. Step 6: Final answer
    x = 3,158,831,932.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.