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Finding the Third Proportional to 4,866,383,824 and 9,990,748,832

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Solution

The third proportional to 4,866,383,824 and 9,990,748,832 is: 20,511,136,366.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866,383,824 : 9,990,748,832 = 9,990,748,832 : x
  2. Step 2: Convert to fraction form
    4,866,383,824/9,990,748,832 = 9,990,748,832/x
  3. Step 3: Cross multiply
    4,866,383,824x = 9,990,748,832 × 9,990,748,832
  4. Step 4: Simplify right side
    4,866,383,824x = 99,815,062,224,109,371,392
  5. Step 5: Solve for x
    x = 99,815,062,224,109,371,392/4,866,383,824
  6. Step 6: Final answer
    x = 20,511,136,366.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.