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Finding the Third Proportional to 5,346,370.88 and 10,976,168.63

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Solution

The third proportional to 5,346,370.88 and 10,976,168.63 is: 22,534,216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346,370.88 : 10,976,168.63 = 10,976,168.63 : x
  2. Step 2: Convert to fraction form
    5,346,370.88/10,976,168.63 = 10,976,168.63/x
  3. Step 3: Cross multiply
    5,346,370.88x = 10,976,168.63 × 10,976,168.63
  4. Step 4: Simplify right side
    5,346,370.88x = 120,476,277,684,434.39
  5. Step 5: Solve for x
    x = 120,476,277,684,434.39/5,346,370.88
  6. Step 6: Final answer
    x = 22,534,216.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.