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Finding the Third Proportional to 568,877,077,687.50 and 821,929,138,522.50

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Solution

The third proportional to 568,877,077,687.50 and 821,929,138,522.50 is: 1,187,545,667,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,877,077,687.50 : 821,929,138,522.50 = 821,929,138,522.50 : x
  2. Step 2: Convert to fraction form
    568,877,077,687.50/821,929,138,522.50 = 821,929,138,522.50/x
  3. Step 3: Cross multiply
    568,877,077,687.50x = 821,929,138,522.50 × 821,929,138,522.50
  4. Step 4: Simplify right side
    568,877,077,687.50x = 675,567,508,752,338,947,932,160
  5. Step 5: Solve for x
    x = 675,567,508,752,338,947,932,160/568,877,077,687.50
  6. Step 6: Final answer
    x = 1,187,545,667,156.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.