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Finding the Third Proportional to 614,081,542.50 and 1,449,638,208

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Solution

The third proportional to 614,081,542.50 and 1,449,638,208 is: 3,422,104,050.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,081,542.50 : 1,449,638,208 = 1,449,638,208 : x
  2. Step 2: Convert to fraction form
    614,081,542.50/1,449,638,208 = 1,449,638,208/x
  3. Step 3: Cross multiply
    614,081,542.50x = 1,449,638,208 × 1,449,638,208
  4. Step 4: Simplify right side
    614,081,542.50x = 2,101,450,934,093,451,264
  5. Step 5: Solve for x
    x = 2,101,450,934,093,451,264/614,081,542.50
  6. Step 6: Final answer
    x = 3,422,104,050.77

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.