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Finding the Third Proportional to 30,175,736 and 65,174,920

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Solution

The third proportional to 30,175,736 and 65,174,920 is: 140,767,741.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,175,736 : 65,174,920 = 65,174,920 : x
  2. Step 2: Convert to fraction form
    30,175,736/65,174,920 = 65,174,920/x
  3. Step 3: Cross multiply
    30,175,736x = 65,174,920 × 65,174,920
  4. Step 4: Simplify right side
    30,175,736x = 4,247,770,197,006,400
  5. Step 5: Solve for x
    x = 4,247,770,197,006,400/30,175,736
  6. Step 6: Final answer
    x = 140,767,741.24

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