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Finding the Third Proportional to 38,152,546 and 82,638,644

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Solution

The third proportional to 38,152,546 and 82,638,644 is: 178,995,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,152,546 : 82,638,644 = 82,638,644 : x
  2. Step 2: Convert to fraction form
    38,152,546/82,638,644 = 82,638,644/x
  3. Step 3: Cross multiply
    38,152,546x = 82,638,644 × 82,638,644
  4. Step 4: Simplify right side
    38,152,546x = 6,829,145,482,158,736
  5. Step 5: Solve for x
    x = 6,829,145,482,158,736/38,152,546
  6. Step 6: Final answer
    x = 178,995,799.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.