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Finding the Third Proportional to 52,635,960 and 117,374,703.75

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Solution

The third proportional to 52,635,960 and 117,374,703.75 is: 261,737,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,635,960 : 117,374,703.75 = 117,374,703.75 : x
  2. Step 2: Convert to fraction form
    52,635,960/117,374,703.75 = 117,374,703.75/x
  3. Step 3: Cross multiply
    52,635,960x = 117,374,703.75 × 117,374,703.75
  4. Step 4: Simplify right side
    52,635,960x = 13,776,821,080,400,264
  5. Step 5: Solve for x
    x = 13,776,821,080,400,264/52,635,960
  6. Step 6: Final answer
    x = 261,737,813.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.