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Finding the Third Proportional to 252,407,675 and 387,729,093

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Solution

The third proportional to 252,407,675 and 387,729,093 is: 595,599,359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,407,675 : 387,729,093 = 387,729,093 : x
  2. Step 2: Convert to fraction form
    252,407,675/387,729,093 = 387,729,093/x
  3. Step 3: Cross multiply
    252,407,675x = 387,729,093 × 387,729,093
  4. Step 4: Simplify right side
    252,407,675x = 150,333,849,558,602,656
  5. Step 5: Solve for x
    x = 150,333,849,558,602,656/252,407,675
  6. Step 6: Final answer
    x = 595,599,359.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.