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Finding the Third Proportional to 53,214,133 and 114,734,493

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Solution

The third proportional to 53,214,133 and 114,734,493 is: 247,377,964.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,214,133 : 114,734,493 = 114,734,493 : x
  2. Step 2: Convert to fraction form
    53,214,133/114,734,493 = 114,734,493/x
  3. Step 3: Cross multiply
    53,214,133x = 114,734,493 × 114,734,493
  4. Step 4: Simplify right side
    53,214,133x = 13,164,003,883,967,048
  5. Step 5: Solve for x
    x = 13,164,003,883,967,048/53,214,133
  6. Step 6: Final answer
    x = 247,377,964.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.