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Finding the Third Proportional to 53,178,822 and 115,675,128

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Solution

The third proportional to 53,178,822 and 115,675,128 is: 251,617,744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,178,822 : 115,675,128 = 115,675,128 : x
  2. Step 2: Convert to fraction form
    53,178,822/115,675,128 = 115,675,128/x
  3. Step 3: Cross multiply
    53,178,822x = 115,675,128 × 115,675,128
  4. Step 4: Simplify right side
    53,178,822x = 13,380,735,237,816,384
  5. Step 5: Solve for x
    x = 13,380,735,237,816,384/53,178,822
  6. Step 6: Final answer
    x = 251,617,744.33

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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.