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Finding the Third Proportional to 6,206,619,408 and 9,300,850,084

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Solution

The third proportional to 6,206,619,408 and 9,300,850,084 is: 13,937,669,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206,619,408 : 9,300,850,084 = 9,300,850,084 : x
  2. Step 2: Convert to fraction form
    6,206,619,408/9,300,850,084 = 9,300,850,084/x
  3. Step 3: Cross multiply
    6,206,619,408x = 9,300,850,084 × 9,300,850,084
  4. Step 4: Simplify right side
    6,206,619,408x = 86,505,812,285,042,802,688
  5. Step 5: Solve for x
    x = 86,505,812,285,042,802,688/6,206,619,408
  6. Step 6: Final answer
    x = 13,937,669,864.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.