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Finding the Third Proportional to 72,837,306 and 159,018,957

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Solution

The third proportional to 72,837,306 and 159,018,957 is: 347,171,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,837,306 : 159,018,957 = 159,018,957 : x
  2. Step 2: Convert to fraction form
    72,837,306/159,018,957 = 159,018,957/x
  3. Step 3: Cross multiply
    72,837,306x = 159,018,957 × 159,018,957
  4. Step 4: Simplify right side
    72,837,306x = 25,287,028,685,367,848
  5. Step 5: Solve for x
    x = 25,287,028,685,367,848/72,837,306
  6. Step 6: Final answer
    x = 347,171,388.87

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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.