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Finding the Third Proportional to 24,562,950,702 and 35,101,025,652

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Solution

The third proportional to 24,562,950,702 and 35,101,025,652 is: 50,160,178,912.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,562,950,702 : 35,101,025,652 = 35,101,025,652 : x
  2. Step 2: Convert to fraction form
    24,562,950,702/35,101,025,652 = 35,101,025,652/x
  3. Step 3: Cross multiply
    24,562,950,702x = 35,101,025,652 × 35,101,025,652
  4. Step 4: Simplify right side
    24,562,950,702x = 1,232,082,001,822,362,107,904
  5. Step 5: Solve for x
    x = 1,232,082,001,822,362,107,904/24,562,950,702
  6. Step 6: Final answer
    x = 50,160,178,912.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.