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Finding the Third Proportional to 74,112,326 and 160,982,768

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Solution

The third proportional to 74,112,326 and 160,982,768 is: 349,678,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,112,326 : 160,982,768 = 160,982,768 : x
  2. Step 2: Convert to fraction form
    74,112,326/160,982,768 = 160,982,768/x
  3. Step 3: Cross multiply
    74,112,326x = 160,982,768 × 160,982,768
  4. Step 4: Simplify right side
    74,112,326x = 25,915,451,592,941,824
  5. Step 5: Solve for x
    x = 25,915,451,592,941,824/74,112,326
  6. Step 6: Final answer
    x = 349,678,022.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.