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Finding the Third Proportional to 1,383,755,742 and 2,228,302,503

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Solution

The third proportional to 1,383,755,742 and 2,228,302,503 is: 3,588,300,950.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,755,742 : 2,228,302,503 = 2,228,302,503 : x
  2. Step 2: Convert to fraction form
    1,383,755,742/2,228,302,503 = 2,228,302,503/x
  3. Step 3: Cross multiply
    1,383,755,742x = 2,228,302,503 × 2,228,302,503
  4. Step 4: Simplify right side
    1,383,755,742x = 4,965,332,044,876,064,768
  5. Step 5: Solve for x
    x = 4,965,332,044,876,064,768/1,383,755,742
  6. Step 6: Final answer
    x = 3,588,300,950.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.