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Finding the Third Proportional to 5,685,954 and 8,130,981

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Solution

The third proportional to 5,685,954 and 8,130,981 is: 11,627,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685,954 : 8,130,981 = 8,130,981 : x
  2. Step 2: Convert to fraction form
    5,685,954/8,130,981 = 8,130,981/x
  3. Step 3: Cross multiply
    5,685,954x = 8,130,981 × 8,130,981
  4. Step 4: Simplify right side
    5,685,954x = 66,112,852,022,361
  5. Step 5: Solve for x
    x = 66,112,852,022,361/5,685,954
  6. Step 6: Final answer
    x = 11,627,398.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.