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Finding the Third Proportional to 5,867,968 and 8,976,305

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Solution

The third proportional to 5,867,968 and 8,976,305 is: 13,731,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867,968 : 8,976,305 = 8,976,305 : x
  2. Step 2: Convert to fraction form
    5,867,968/8,976,305 = 8,976,305/x
  3. Step 3: Cross multiply
    5,867,968x = 8,976,305 × 8,976,305
  4. Step 4: Simplify right side
    5,867,968x = 80,574,051,453,025
  5. Step 5: Solve for x
    x = 80,574,051,453,025/5,867,968
  6. Step 6: Final answer
    x = 13,731,167.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.