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Finding the Third Proportional to 38,477,876 and 84,651,240

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Solution

The third proportional to 38,477,876 and 84,651,240 is: 186,232,536.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,477,876 : 84,651,240 = 84,651,240 : x
  2. Step 2: Convert to fraction form
    38,477,876/84,651,240 = 84,651,240/x
  3. Step 3: Cross multiply
    38,477,876x = 84,651,240 × 84,651,240
  4. Step 4: Simplify right side
    38,477,876x = 7,165,832,433,537,600
  5. Step 5: Solve for x
    x = 7,165,832,433,537,600/38,477,876
  6. Step 6: Final answer
    x = 186,232,536.16

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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.