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Finding the Third Proportional to 38,774,992 and 81,561,248

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Solution

The third proportional to 38,774,992 and 81,561,248 is: 171,559,988.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,774,992 : 81,561,248 = 81,561,248 : x
  2. Step 2: Convert to fraction form
    38,774,992/81,561,248 = 81,561,248/x
  3. Step 3: Cross multiply
    38,774,992x = 81,561,248 × 81,561,248
  4. Step 4: Simplify right side
    38,774,992x = 6,652,237,175,317,504
  5. Step 5: Solve for x
    x = 6,652,237,175,317,504/38,774,992
  6. Step 6: Final answer
    x = 171,559,988.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.