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Finding the Third Proportional to 28,377,802,380 and 39,911,480,424

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Solution

The third proportional to 28,377,802,380 and 39,911,480,424 is: 56,132,826,929.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,377,802,380 : 39,911,480,424 = 39,911,480,424 : x
  2. Step 2: Convert to fraction form
    28,377,802,380/39,911,480,424 = 39,911,480,424/x
  3. Step 3: Cross multiply
    28,377,802,380x = 39,911,480,424 × 39,911,480,424
  4. Step 4: Simplify right side
    28,377,802,380x = 1,592,926,269,635,335,290,880
  5. Step 5: Solve for x
    x = 1,592,926,269,635,335,290,880/28,377,802,380
  6. Step 6: Final answer
    x = 56,132,826,929.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.