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Finding the Third Proportional to 1,864,712,156 and 2,796,383,524

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Solution

The third proportional to 1,864,712,156 and 2,796,383,524 is: 4,193,548,472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864,712,156 : 2,796,383,524 = 2,796,383,524 : x
  2. Step 2: Convert to fraction form
    1,864,712,156/2,796,383,524 = 2,796,383,524/x
  3. Step 3: Cross multiply
    1,864,712,156x = 2,796,383,524 × 2,796,383,524
  4. Step 4: Simplify right side
    1,864,712,156x = 7,819,760,813,298,658,304
  5. Step 5: Solve for x
    x = 7,819,760,813,298,658,304/1,864,712,156
  6. Step 6: Final answer
    x = 4,193,548,472.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.