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Finding the Third Proportional to 38,323,878,768 and 83,872,387,902

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Solution

The third proportional to 38,323,878,768 and 83,872,387,902 is: 183,555,988,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,323,878,768 : 83,872,387,902 = 83,872,387,902 : x
  2. Step 2: Convert to fraction form
    38,323,878,768/83,872,387,902 = 83,872,387,902/x
  3. Step 3: Cross multiply
    38,323,878,768x = 83,872,387,902 × 83,872,387,902
  4. Step 4: Simplify right side
    38,323,878,768x = 7,034,577,452,383,555,551,232
  5. Step 5: Solve for x
    x = 7,034,577,452,383,555,551,232/38,323,878,768
  6. Step 6: Final answer
    x = 183,555,988,551.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.