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Finding the Third Proportional to 38,323,878,772 and 83,872,387,910

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Solution

The third proportional to 38,323,878,772 and 83,872,387,910 is: 183,555,988,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,323,878,772 : 83,872,387,910 = 83,872,387,910 : x
  2. Step 2: Convert to fraction form
    38,323,878,772/83,872,387,910 = 83,872,387,910/x
  3. Step 3: Cross multiply
    38,323,878,772x = 83,872,387,910 × 83,872,387,910
  4. Step 4: Simplify right side
    38,323,878,772x = 7,034,577,453,725,513,678,848
  5. Step 5: Solve for x
    x = 7,034,577,453,725,513,678,848/38,323,878,772
  6. Step 6: Final answer
    x = 183,555,988,567.24

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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.