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Finding the Third Proportional to 818,983,709,464.50 and 1,780,515,911,225.20

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Solution

The third proportional to 818,983,709,464.50 and 1,780,515,911,225.20 is: 3,870,940,134,082.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,983,709,464.50 : 1,780,515,911,225.20 = 1,780,515,911,225.20 : x
  2. Step 2: Convert to fraction form
    818,983,709,464.50/1,780,515,911,225.20 = 1,780,515,911,225.20/x
  3. Step 3: Cross multiply
    818,983,709,464.50x = 1,780,515,911,225.20 × 1,780,515,911,225.20
  4. Step 4: Simplify right side
    818,983,709,464.50x = 3,170,236,910,126,103,946,854,400
  5. Step 5: Solve for x
    x = 3,170,236,910,126,103,946,854,400/818,983,709,464.50
  6. Step 6: Final answer
    x = 3,870,940,134,082.76

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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.