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Finding the Third Proportional to 38,649,321 and 84,007,993.50

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Solution

The third proportional to 38,649,321 and 84,007,993.50 is: 182,599,403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,649,321 : 84,007,993.50 = 84,007,993.50 : x
  2. Step 2: Convert to fraction form
    38,649,321/84,007,993.50 = 84,007,993.50/x
  3. Step 3: Cross multiply
    38,649,321x = 84,007,993.50 × 84,007,993.50
  4. Step 4: Simplify right side
    38,649,321x = 7,057,342,971,896,042
  5. Step 5: Solve for x
    x = 7,057,342,971,896,042/38,649,321
  6. Step 6: Final answer
    x = 182,599,403.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.