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Finding the Third Proportional to 806,335,044,328 and 1,727,682,771,704

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Solution

The third proportional to 806,335,044,328 and 1,727,682,771,704 is: 3,701,795,898,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,335,044,328 : 1,727,682,771,704 = 1,727,682,771,704 : x
  2. Step 2: Convert to fraction form
    806,335,044,328/1,727,682,771,704 = 1,727,682,771,704/x
  3. Step 3: Cross multiply
    806,335,044,328x = 1,727,682,771,704 × 1,727,682,771,704
  4. Step 4: Simplify right side
    806,335,044,328x = 2,984,887,759,642,815,994,265,600
  5. Step 5: Solve for x
    x = 2,984,887,759,642,815,994,265,600/806,335,044,328
  6. Step 6: Final answer
    x = 3,701,795,898,168.39

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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.