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Finding the Third Proportional to 38,477,871 and 84,651,231

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Solution

The third proportional to 38,477,871 and 84,651,231 is: 186,232,520.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,477,871 : 84,651,231 = 84,651,231 : x
  2. Step 2: Convert to fraction form
    38,477,871/84,651,231 = 84,651,231/x
  3. Step 3: Cross multiply
    38,477,871x = 84,651,231 × 84,651,231
  4. Step 4: Simplify right side
    38,477,871x = 7,165,830,909,815,361
  5. Step 5: Solve for x
    x = 7,165,830,909,815,361/38,477,871
  6. Step 6: Final answer
    x = 186,232,520.76

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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.