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Finding the Third Proportional to 1,214,810,096 and 1,814,254,600

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Solution

The third proportional to 1,214,810,096 and 1,814,254,600 is: 2,709,493,248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,810,096 : 1,814,254,600 = 1,814,254,600 : x
  2. Step 2: Convert to fraction form
    1,214,810,096/1,814,254,600 = 1,814,254,600/x
  3. Step 3: Cross multiply
    1,214,810,096x = 1,814,254,600 × 1,814,254,600
  4. Step 4: Simplify right side
    1,214,810,096x = 3,291,519,753,621,159,936
  5. Step 5: Solve for x
    x = 3,291,519,753,621,159,936/1,214,810,096
  6. Step 6: Final answer
    x = 2,709,493,248.75

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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.