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Finding the Third Proportional to 568,877,077,719 and 821,929,138,494.72

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Solution

The third proportional to 568,877,077,719 and 821,929,138,494.72 is: 1,187,545,667,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,877,077,719 : 821,929,138,494.72 = 821,929,138,494.72 : x
  2. Step 2: Convert to fraction form
    568,877,077,719/821,929,138,494.72 = 821,929,138,494.72/x
  3. Step 3: Cross multiply
    568,877,077,719x = 821,929,138,494.72 × 821,929,138,494.72
  4. Step 4: Simplify right side
    568,877,077,719x = 675,567,508,706,672,573,939,712
  5. Step 5: Solve for x
    x = 675,567,508,706,672,573,939,712/568,877,077,719
  6. Step 6: Final answer
    x = 1,187,545,667,010.29

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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.