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Finding the Third Proportional to 38,488,684.50 and 83,753,106.75

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Solution

The third proportional to 38,488,684.50 and 83,753,106.75 is: 182,250,523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,488,684.50 : 83,753,106.75 = 83,753,106.75 : x
  2. Step 2: Convert to fraction form
    38,488,684.50/83,753,106.75 = 83,753,106.75/x
  3. Step 3: Cross multiply
    38,488,684.50x = 83,753,106.75 × 83,753,106.75
  4. Step 4: Simplify right side
    38,488,684.50x = 7,014,582,890,276,896
  5. Step 5: Solve for x
    x = 7,014,582,890,276,896/38,488,684.50
  6. Step 6: Final answer
    x = 182,250,523.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.