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Finding the Third Proportional to 5,640,711 and 8,593,260

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Solution

The third proportional to 5,640,711 and 8,593,260 is: 13,091,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640,711 : 8,593,260 = 8,593,260 : x
  2. Step 2: Convert to fraction form
    5,640,711/8,593,260 = 8,593,260/x
  3. Step 3: Cross multiply
    5,640,711x = 8,593,260 × 8,593,260
  4. Step 4: Simplify right side
    5,640,711x = 73,844,117,427,600
  5. Step 5: Solve for x
    x = 73,844,117,427,600/5,640,711
  6. Step 6: Final answer
    x = 13,091,278.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.