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Finding the Third Proportional to 38,575,931 and 82,520,824

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Solution

The third proportional to 38,575,931 and 82,520,824 is: 176,526,819.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,575,931 : 82,520,824 = 82,520,824 : x
  2. Step 2: Convert to fraction form
    38,575,931/82,520,824 = 82,520,824/x
  3. Step 3: Cross multiply
    38,575,931x = 82,520,824 × 82,520,824
  4. Step 4: Simplify right side
    38,575,931x = 6,809,686,393,638,976
  5. Step 5: Solve for x
    x = 6,809,686,393,638,976/38,575,931
  6. Step 6: Final answer
    x = 176,526,819.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.