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Finding the Third Proportional to 53,874,240 and 117,825,984

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Solution

The third proportional to 53,874,240 and 117,825,984 is: 257,692,034.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,874,240 : 117,825,984 = 117,825,984 : x
  2. Step 2: Convert to fraction form
    53,874,240/117,825,984 = 117,825,984/x
  3. Step 3: Cross multiply
    53,874,240x = 117,825,984 × 117,825,984
  4. Step 4: Simplify right side
    53,874,240x = 13,882,962,505,568,256
  5. Step 5: Solve for x
    x = 13,882,962,505,568,256/53,874,240
  6. Step 6: Final answer
    x = 257,692,034.37

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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.