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Finding the Third Proportional to 38,477,947 and 84,651,389

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Solution

The third proportional to 38,477,947 and 84,651,389 is: 186,232,848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,477,947 : 84,651,389 = 84,651,389 : x
  2. Step 2: Convert to fraction form
    38,477,947/84,651,389 = 84,651,389/x
  3. Step 3: Cross multiply
    38,477,947x = 84,651,389 × 84,651,389
  4. Step 4: Simplify right side
    38,477,947x = 7,165,857,659,629,321
  5. Step 5: Solve for x
    x = 7,165,857,659,629,321/38,477,947
  6. Step 6: Final answer
    x = 186,232,848.12

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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.