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Finding the Third Proportional to 38,478,098 and 84,651,682

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Solution

The third proportional to 38,478,098 and 84,651,682 is: 186,233,406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,478,098 : 84,651,682 = 84,651,682 : x
  2. Step 2: Convert to fraction form
    38,478,098/84,651,682 = 84,651,682/x
  3. Step 3: Cross multiply
    38,478,098x = 84,651,682 × 84,651,682
  4. Step 4: Simplify right side
    38,478,098x = 7,165,907,265,429,124
  5. Step 5: Solve for x
    x = 7,165,907,265,429,124/38,478,098
  6. Step 6: Final answer
    x = 186,233,406.48

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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.