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Finding the Third Proportional to 5,980,160 and 14,039,296

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Solution

The third proportional to 5,980,160 and 14,039,296 is: 32,959,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980,160 : 14,039,296 = 14,039,296 : x
  2. Step 2: Convert to fraction form
    5,980,160/14,039,296 = 14,039,296/x
  3. Step 3: Cross multiply
    5,980,160x = 14,039,296 × 14,039,296
  4. Step 4: Simplify right side
    5,980,160x = 197,101,832,175,616
  5. Step 5: Solve for x
    x = 197,101,832,175,616/5,980,160
  6. Step 6: Final answer
    x = 32,959,290.75

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.