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Finding the Third Proportional to 3,266,809,344 and 5,021,320,128

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Solution

The third proportional to 3,266,809,344 and 5,021,320,128 is: 7,718,128,967.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266,809,344 : 5,021,320,128 = 5,021,320,128 : x
  2. Step 2: Convert to fraction form
    3,266,809,344/5,021,320,128 = 5,021,320,128/x
  3. Step 3: Cross multiply
    3,266,809,344x = 5,021,320,128 × 5,021,320,128
  4. Step 4: Simplify right side
    3,266,809,344x = 25,213,655,827,857,936,384
  5. Step 5: Solve for x
    x = 25,213,655,827,857,936,384/3,266,809,344
  6. Step 6: Final answer
    x = 7,718,128,967.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.