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Finding the Third Proportional to 5,650,380 and 12,263,998

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Solution

The third proportional to 5,650,380 and 12,263,998 is: 26,618,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650,380 : 12,263,998 = 12,263,998 : x
  2. Step 2: Convert to fraction form
    5,650,380/12,263,998 = 12,263,998/x
  3. Step 3: Cross multiply
    5,650,380x = 12,263,998 × 12,263,998
  4. Step 4: Simplify right side
    5,650,380x = 150,405,646,944,004
  5. Step 5: Solve for x
    x = 150,405,646,944,004/5,650,380
  6. Step 6: Final answer
    x = 26,618,678.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.