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Finding the Third Proportional to 6,156,404,366 and 13,184,529,598

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Solution

The third proportional to 6,156,404,366 and 13,184,529,598 is: 28,235,932,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156,404,366 : 13,184,529,598 = 13,184,529,598 : x
  2. Step 2: Convert to fraction form
    6,156,404,366/13,184,529,598 = 13,184,529,598/x
  3. Step 3: Cross multiply
    6,156,404,366x = 13,184,529,598 × 13,184,529,598
  4. Step 4: Simplify right side
    6,156,404,366x = 173,831,820,720,538,025,984
  5. Step 5: Solve for x
    x = 173,831,820,720,538,025,984/6,156,404,366
  6. Step 6: Final answer
    x = 28,235,932,922.24

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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.