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Finding the Third Proportional to 116,407,845 and 253,482,841

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Solution

The third proportional to 116,407,845 and 253,482,841 is: 551,969,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,407,845 : 253,482,841 = 253,482,841 : x
  2. Step 2: Convert to fraction form
    116,407,845/253,482,841 = 253,482,841/x
  3. Step 3: Cross multiply
    116,407,845x = 253,482,841 × 253,482,841
  4. Step 4: Simplify right side
    116,407,845x = 64,253,550,681,431,280
  5. Step 5: Solve for x
    x = 64,253,550,681,431,280/116,407,845
  6. Step 6: Final answer
    x = 551,969,248.13

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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.