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Finding the Third Proportional to 20,293,643,160 and 44,578,053,936

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Solution

The third proportional to 20,293,643,160 and 44,578,053,936 is: 97,922,432,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,293,643,160 : 44,578,053,936 = 44,578,053,936 : x
  2. Step 2: Convert to fraction form
    20,293,643,160/44,578,053,936 = 44,578,053,936/x
  3. Step 3: Cross multiply
    20,293,643,160x = 44,578,053,936 × 44,578,053,936
  4. Step 4: Simplify right side
    20,293,643,160x = 1,987,202,892,720,925,048,832
  5. Step 5: Solve for x
    x = 1,987,202,892,720,925,048,832/20,293,643,160
  6. Step 6: Final answer
    x = 97,922,432,017.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.