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Finding the Third Proportional to 9,292,686 and 19,929,963

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Solution

The third proportional to 9,292,686 and 19,929,963 is: 42,743,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292,686 : 19,929,963 = 19,929,963 : x
  2. Step 2: Convert to fraction form
    9,292,686/19,929,963 = 19,929,963/x
  3. Step 3: Cross multiply
    9,292,686x = 19,929,963 × 19,929,963
  4. Step 4: Simplify right side
    9,292,686x = 397,203,425,181,369
  5. Step 5: Solve for x
    x = 397,203,425,181,369/9,292,686
  6. Step 6: Final answer
    x = 42,743,661.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.