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Finding the Third Proportional to 53,816,052 and 114,807,420

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Solution

The third proportional to 53,816,052 and 114,807,420 is: 244,922,159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,816,052 : 114,807,420 = 114,807,420 : x
  2. Step 2: Convert to fraction form
    53,816,052/114,807,420 = 114,807,420/x
  3. Step 3: Cross multiply
    53,816,052x = 114,807,420 × 114,807,420
  4. Step 4: Simplify right side
    53,816,052x = 13,180,743,687,056,400
  5. Step 5: Solve for x
    x = 13,180,743,687,056,400/53,816,052
  6. Step 6: Final answer
    x = 244,922,159.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.