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Finding the Third Proportional to 9,414,232,512 and 20,483,253,699.75

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Solution

The third proportional to 9,414,232,512 and 20,483,253,699.75 is: 44,566,955,574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414,232,512 : 20,483,253,699.75 = 20,483,253,699.75 : x
  2. Step 2: Convert to fraction form
    9,414,232,512/20,483,253,699.75 = 20,483,253,699.75/x
  3. Step 3: Cross multiply
    9,414,232,512x = 20,483,253,699.75 × 20,483,253,699.75
  4. Step 4: Simplify right side
    9,414,232,512x = 419,563,682,128,322,035,712
  5. Step 5: Solve for x
    x = 419,563,682,128,322,035,712/9,414,232,512
  6. Step 6: Final answer
    x = 44,566,955,574.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.