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Finding the Third Proportional to 4,407,943,128 and 9,590,693,700

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Solution

The third proportional to 4,407,943,128 and 9,590,693,700 is: 20,867,194,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407,943,128 : 9,590,693,700 = 9,590,693,700 : x
  2. Step 2: Convert to fraction form
    4,407,943,128/9,590,693,700 = 9,590,693,700/x
  3. Step 3: Cross multiply
    4,407,943,128x = 9,590,693,700 × 9,590,693,700
  4. Step 4: Simplify right side
    4,407,943,128x = 91,981,405,647,219,687,424
  5. Step 5: Solve for x
    x = 91,981,405,647,219,687,424/4,407,943,128
  6. Step 6: Final answer
    x = 20,867,194,284.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.