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Finding the Third Proportional to 33,140,738 and 72,018,004

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Solution

The third proportional to 33,140,738 and 72,018,004 is: 156,502,033.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,140,738 : 72,018,004 = 72,018,004 : x
  2. Step 2: Convert to fraction form
    33,140,738/72,018,004 = 72,018,004/x
  3. Step 3: Cross multiply
    33,140,738x = 72,018,004 × 72,018,004
  4. Step 4: Simplify right side
    33,140,738x = 5,186,592,900,144,016
  5. Step 5: Solve for x
    x = 5,186,592,900,144,016/33,140,738
  6. Step 6: Final answer
    x = 156,502,033.85

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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.