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Finding the Third Proportional to 3,184,935,878 and 4,777,404,425

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Solution

The third proportional to 3,184,935,878 and 4,777,404,425 is: 7,166,107,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184,935,878 : 4,777,404,425 = 4,777,404,425 : x
  2. Step 2: Convert to fraction form
    3,184,935,878/4,777,404,425 = 4,777,404,425/x
  3. Step 3: Cross multiply
    3,184,935,878x = 4,777,404,425 × 4,777,404,425
  4. Step 4: Simplify right side
    3,184,935,878x = 22,823,593,040,009,580,544
  5. Step 5: Solve for x
    x = 22,823,593,040,009,580,544/3,184,935,878
  6. Step 6: Final answer
    x = 7,166,107,549.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.