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Finding the Third Proportional to 54,394,032 and 117,402,102

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Solution

The third proportional to 54,394,032 and 117,402,102 is: 253,396,430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,394,032 : 117,402,102 = 117,402,102 : x
  2. Step 2: Convert to fraction form
    54,394,032/117,402,102 = 117,402,102/x
  3. Step 3: Cross multiply
    54,394,032x = 117,402,102 × 117,402,102
  4. Step 4: Simplify right side
    54,394,032x = 13,783,253,554,018,404
  5. Step 5: Solve for x
    x = 13,783,253,554,018,404/54,394,032
  6. Step 6: Final answer
    x = 253,396,430.59

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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.