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Finding the Third Proportional to 3,184,931,491 and 4,777,397,735

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Solution

The third proportional to 3,184,931,491 and 4,777,397,735 is: 7,166,097,350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184,931,491 : 4,777,397,735 = 4,777,397,735 : x
  2. Step 2: Convert to fraction form
    3,184,931,491/4,777,397,735 = 4,777,397,735/x
  3. Step 3: Cross multiply
    3,184,931,491x = 4,777,397,735 × 4,777,397,735
  4. Step 4: Simplify right side
    3,184,931,491x = 22,823,529,118,383,128,576
  5. Step 5: Solve for x
    x = 22,823,529,118,383,128,576/3,184,931,491
  6. Step 6: Final answer
    x = 7,166,097,350.25

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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.