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Finding the Third Proportional to 821,412,498,018.75 and 1,755,868,086,709.50

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Solution

The third proportional to 821,412,498,018.75 and 1,755,868,086,709.50 is: 3,753,379,386,558.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,412,498,018.75 : 1,755,868,086,709.50 = 1,755,868,086,709.50 : x
  2. Step 2: Convert to fraction form
    821,412,498,018.75/1,755,868,086,709.50 = 1,755,868,086,709.50/x
  3. Step 3: Cross multiply
    821,412,498,018.75x = 1,755,868,086,709.50 × 1,755,868,086,709.50
  4. Step 4: Simplify right side
    821,412,498,018.75x = 3,083,072,737,924,880,330,129,408
  5. Step 5: Solve for x
    x = 3,083,072,737,924,880,330,129,408/821,412,498,018.75
  6. Step 6: Final answer
    x = 3,753,379,386,558.23

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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.