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Finding the Third Proportional to 21,582,378,042 and 32,373,564,867

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Solution

The third proportional to 21,582,378,042 and 32,373,564,867 is: 48,560,344,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,582,378,042 : 32,373,564,867 = 32,373,564,867 : x
  2. Step 2: Convert to fraction form
    21,582,378,042/32,373,564,867 = 32,373,564,867/x
  3. Step 3: Cross multiply
    21,582,378,042x = 32,373,564,867 × 32,373,564,867
  4. Step 4: Simplify right side
    21,582,378,042x = 1,048,047,702,197,856,763,904
  5. Step 5: Solve for x
    x = 1,048,047,702,197,856,763,904/21,582,378,042
  6. Step 6: Final answer
    x = 48,560,344,006.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.