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Finding the Third Proportional to 72,837,310 and 159,018,965

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Solution

The third proportional to 72,837,310 and 159,018,965 is: 347,171,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,837,310 : 159,018,965 = 159,018,965 : x
  2. Step 2: Convert to fraction form
    72,837,310/159,018,965 = 159,018,965/x
  3. Step 3: Cross multiply
    72,837,310x = 159,018,965 × 159,018,965
  4. Step 4: Simplify right side
    72,837,310x = 25,287,031,229,671,224
  5. Step 5: Solve for x
    x = 25,287,031,229,671,224/72,837,310
  6. Step 6: Final answer
    x = 347,171,404.73

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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.