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Finding the Third Proportional to 8,022,345 and 17,292,078

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Solution

The third proportional to 8,022,345 and 17,292,078 is: 37,272,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022,345 : 17,292,078 = 17,292,078 : x
  2. Step 2: Convert to fraction form
    8,022,345/17,292,078 = 17,292,078/x
  3. Step 3: Cross multiply
    8,022,345x = 17,292,078 × 17,292,078
  4. Step 4: Simplify right side
    8,022,345x = 299,015,961,558,084
  5. Step 5: Solve for x
    x = 299,015,961,558,084/8,022,345
  6. Step 6: Final answer
    x = 37,272,887.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.