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Finding the Third Proportional to 1,214,810,241 and 1,814,254,803

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Solution

The third proportional to 1,214,810,241 and 1,814,254,803 is: 2,709,493,531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,810,241 : 1,814,254,803 = 1,814,254,803 : x
  2. Step 2: Convert to fraction form
    1,214,810,241/1,814,254,803 = 1,814,254,803/x
  3. Step 3: Cross multiply
    1,214,810,241x = 1,814,254,803 × 1,814,254,803
  4. Step 4: Simplify right side
    1,214,810,241x = 3,291,520,490,208,568,832
  5. Step 5: Solve for x
    x = 3,291,520,490,208,568,832/1,214,810,241
  6. Step 6: Final answer
    x = 2,709,493,531.68

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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.