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Finding the Third Proportional to 1,378,296,702 and 3,024,395,928

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Solution

The third proportional to 1,378,296,702 and 3,024,395,928 is: 6,636,430,832.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,296,702 : 3,024,395,928 = 3,024,395,928 : x
  2. Step 2: Convert to fraction form
    1,378,296,702/3,024,395,928 = 3,024,395,928/x
  3. Step 3: Cross multiply
    1,378,296,702x = 3,024,395,928 × 3,024,395,928
  4. Step 4: Simplify right side
    1,378,296,702x = 9,146,970,729,302,981,632
  5. Step 5: Solve for x
    x = 9,146,970,729,302,981,632/1,378,296,702
  6. Step 6: Final answer
    x = 6,636,430,832.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.