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Finding the Third Proportional to 1,214,810,251.50 and 1,814,254,818

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Solution

The third proportional to 1,214,810,251.50 and 1,814,254,818 is: 2,709,493,553.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,810,251.50 : 1,814,254,818 = 1,814,254,818 : x
  2. Step 2: Convert to fraction form
    1,214,810,251.50/1,814,254,818 = 1,814,254,818/x
  3. Step 3: Cross multiply
    1,214,810,251.50x = 1,814,254,818 × 1,814,254,818
  4. Step 4: Simplify right side
    1,214,810,251.50x = 3,291,520,544,636,213,248
  5. Step 5: Solve for x
    x = 3,291,520,544,636,213,248/1,214,810,251.50
  6. Step 6: Final answer
    x = 2,709,493,553.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.