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Finding the Third Proportional to 38,477,943 and 84,651,381

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Solution

The third proportional to 38,477,943 and 84,651,381 is: 186,232,832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,477,943 : 84,651,381 = 84,651,381 : x
  2. Step 2: Convert to fraction form
    38,477,943/84,651,381 = 84,651,381/x
  3. Step 3: Cross multiply
    38,477,943x = 84,651,381 × 84,651,381
  4. Step 4: Simplify right side
    38,477,943x = 7,165,856,305,207,161
  5. Step 5: Solve for x
    x = 7,165,856,305,207,161/38,477,943
  6. Step 6: Final answer
    x = 186,232,832.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.