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Finding the Third Proportional to 1,214,810,235 and 1,814,254,794

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Solution

The third proportional to 1,214,810,235 and 1,814,254,794 is: 2,709,493,518.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,810,235 : 1,814,254,794 = 1,814,254,794 : x
  2. Step 2: Convert to fraction form
    1,214,810,235/1,814,254,794 = 1,814,254,794/x
  3. Step 3: Cross multiply
    1,214,810,235x = 1,814,254,794 × 1,814,254,794
  4. Step 4: Simplify right side
    1,214,810,235x = 3,291,520,457,551,982,592
  5. Step 5: Solve for x
    x = 3,291,520,457,551,982,592/1,214,810,235
  6. Step 6: Final answer
    x = 2,709,493,518.18

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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.