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Finding the Third Proportional to 614,081,545 and 1,449,638,214

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Solution

The third proportional to 614,081,545 and 1,449,638,214 is: 3,422,104,065.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,081,545 : 1,449,638,214 = 1,449,638,214 : x
  2. Step 2: Convert to fraction form
    614,081,545/1,449,638,214 = 1,449,638,214/x
  3. Step 3: Cross multiply
    614,081,545x = 1,449,638,214 × 1,449,638,214
  4. Step 4: Simplify right side
    614,081,545x = 2,101,450,951,489,109,760
  5. Step 5: Solve for x
    x = 2,101,450,951,489,109,760/614,081,545
  6. Step 6: Final answer
    x = 3,422,104,065.17

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Why These Related Problems?

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