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Finding the Third Proportional to 568,877,077,692 and 821,929,138,528

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Solution

The third proportional to 568,877,077,692 and 821,929,138,528 is: 1,187,545,667,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,877,077,692 : 821,929,138,528 = 821,929,138,528 : x
  2. Step 2: Convert to fraction form
    568,877,077,692/821,929,138,528 = 821,929,138,528/x
  3. Step 3: Cross multiply
    568,877,077,692x = 821,929,138,528 × 821,929,138,528
  4. Step 4: Simplify right side
    568,877,077,692x = 675,567,508,761,380,256,743,424
  5. Step 5: Solve for x
    x = 675,567,508,761,380,256,743,424/568,877,077,692
  6. Step 6: Final answer
    x = 1,187,545,667,162.82

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