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Finding the Third Proportional to 30,175,738 and 65,174,924

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Solution

The third proportional to 30,175,738 and 65,174,924 is: 140,767,749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,175,738 : 65,174,924 = 65,174,924 : x
  2. Step 2: Convert to fraction form
    30,175,738/65,174,924 = 65,174,924/x
  3. Step 3: Cross multiply
    30,175,738x = 65,174,924 × 65,174,924
  4. Step 4: Simplify right side
    30,175,738x = 4,247,770,718,405,776
  5. Step 5: Solve for x
    x = 4,247,770,718,405,776/30,175,738
  6. Step 6: Final answer
    x = 140,767,749.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.