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Finding the Third Proportional to 5,976,436.50 and 13,208,859

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Solution

The third proportional to 5,976,436.50 and 13,208,859 is: 29,193,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976,436.50 : 13,208,859 = 13,208,859 : x
  2. Step 2: Convert to fraction form
    5,976,436.50/13,208,859 = 13,208,859/x
  3. Step 3: Cross multiply
    5,976,436.50x = 13,208,859 × 13,208,859
  4. Step 4: Simplify right side
    5,976,436.50x = 174,473,956,081,881
  5. Step 5: Solve for x
    x = 174,473,956,081,881/5,976,436.50
  6. Step 6: Final answer
    x = 29,193,643.42

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.