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Finding the Third Proportional to 1,214,810,248.50 and 1,814,254,814.25

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Solution

The third proportional to 1,214,810,248.50 and 1,814,254,814.25 is: 2,709,493,548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,810,248.50 : 1,814,254,814.25 = 1,814,254,814.25 : x
  2. Step 2: Convert to fraction form
    1,214,810,248.50/1,814,254,814.25 = 1,814,254,814.25/x
  3. Step 3: Cross multiply
    1,214,810,248.50x = 1,814,254,814.25 × 1,814,254,814.25
  4. Step 4: Simplify right side
    1,214,810,248.50x = 3,291,520,531,029,301,760
  5. Step 5: Solve for x
    x = 3,291,520,531,029,301,760/1,214,810,248.50
  6. Step 6: Final answer
    x = 2,709,493,548.56

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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.