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Finding the Third Proportional to 8,719,824.23 and 20,367,005.34

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Solution

The third proportional to 8,719,824.23 and 20,367,005.34 is: 47,571,475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,719,824.23 : 20,367,005.34 = 20,367,005.34 : x
  2. Step 2: Convert to fraction form
    8,719,824.23/20,367,005.34 = 20,367,005.34/x
  3. Step 3: Cross multiply
    8,719,824.23x = 20,367,005.34 × 20,367,005.34
  4. Step 4: Simplify right side
    8,719,824.23x = 414,814,906,672,341.06
  5. Step 5: Solve for x
    x = 414,814,906,672,341.06/8,719,824.23
  6. Step 6: Final answer
    x = 47,571,475.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.