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Finding the Third Proportional to 38,649,289.50 and 81,771,520.50

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Solution

The third proportional to 38,649,289.50 and 81,771,520.50 is: 173,006,584.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,649,289.50 : 81,771,520.50 = 81,771,520.50 : x
  2. Step 2: Convert to fraction form
    38,649,289.50/81,771,520.50 = 81,771,520.50/x
  3. Step 3: Cross multiply
    38,649,289.50x = 81,771,520.50 × 81,771,520.50
  4. Step 4: Simplify right side
    38,649,289.50x = 6,686,581,564,881,920
  5. Step 5: Solve for x
    x = 6,686,581,564,881,920/38,649,289.50
  6. Step 6: Final answer
    x = 173,006,584.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.