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Finding the Third Proportional to 968,278,635,782 and 2,118,960,577,372

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Solution

The third proportional to 968,278,635,782 and 2,118,960,577,372 is: 4,637,088,708,283.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,278,635,782 : 2,118,960,577,372 = 2,118,960,577,372 : x
  2. Step 2: Convert to fraction form
    968,278,635,782/2,118,960,577,372 = 2,118,960,577,372/x
  3. Step 3: Cross multiply
    968,278,635,782x = 2,118,960,577,372 × 2,118,960,577,372
  4. Step 4: Simplify right side
    968,278,635,782x = 4,489,993,928,456,679,609,860,096
  5. Step 5: Solve for x
    x = 4,489,993,928,456,679,609,860,096/968,278,635,782
  6. Step 6: Final answer
    x = 4,637,088,708,283.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.