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Finding the Third Proportional to 75,308,736 and 164,428,032

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Solution

The third proportional to 75,308,736 and 164,428,032 is: 359,009,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,308,736 : 164,428,032 = 164,428,032 : x
  2. Step 2: Convert to fraction form
    75,308,736/164,428,032 = 164,428,032/x
  3. Step 3: Cross multiply
    75,308,736x = 164,428,032 × 164,428,032
  4. Step 4: Simplify right side
    75,308,736x = 27,036,577,707,393,024
  5. Step 5: Solve for x
    x = 27,036,577,707,393,024/75,308,736
  6. Step 6: Final answer
    x = 359,009,845.91

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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.