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Finding the Third Proportional to 74,112,324 and 160,982,784

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Solution

The third proportional to 74,112,324 and 160,982,784 is: 349,678,101.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,112,324 : 160,982,784 = 160,982,784 : x
  2. Step 2: Convert to fraction form
    74,112,324/160,982,784 = 160,982,784/x
  3. Step 3: Cross multiply
    74,112,324x = 160,982,784 × 160,982,784
  4. Step 4: Simplify right side
    74,112,324x = 25,915,456,744,390,656
  5. Step 5: Solve for x
    x = 25,915,456,744,390,656/74,112,324
  6. Step 6: Final answer
    x = 349,678,101.37

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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.