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Finding the Third Proportional to 3,100,943,744 and 4,766,365,272

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Solution

The third proportional to 3,100,943,744 and 4,766,365,272 is: 7,326,233,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100,943,744 : 4,766,365,272 = 4,766,365,272 : x
  2. Step 2: Convert to fraction form
    3,100,943,744/4,766,365,272 = 4,766,365,272/x
  3. Step 3: Cross multiply
    3,100,943,744x = 4,766,365,272 × 4,766,365,272
  4. Step 4: Simplify right side
    3,100,943,744x = 22,718,237,906,127,634,432
  5. Step 5: Solve for x
    x = 22,718,237,906,127,634,432/3,100,943,744
  6. Step 6: Final answer
    x = 7,326,233,489.43

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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.