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Finding the Third Proportional to 3,184,931,571 and 4,777,397,856

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Solution

The third proportional to 3,184,931,571 and 4,777,397,856 is: 7,166,097,533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184,931,571 : 4,777,397,856 = 4,777,397,856 : x
  2. Step 2: Convert to fraction form
    3,184,931,571/4,777,397,856 = 4,777,397,856/x
  3. Step 3: Cross multiply
    3,184,931,571x = 4,777,397,856 × 4,777,397,856
  4. Step 4: Simplify right side
    3,184,931,571x = 22,823,530,274,513,395,712
  5. Step 5: Solve for x
    x = 22,823,530,274,513,395,712/3,184,931,571
  6. Step 6: Final answer
    x = 7,166,097,533.25

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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.