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Finding the Third Proportional to 6,133,420,410 and 13,128,440,625

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Solution

The third proportional to 6,133,420,410 and 13,128,440,625 is: 28,101,115,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133,420,410 : 13,128,440,625 = 13,128,440,625 : x
  2. Step 2: Convert to fraction form
    6,133,420,410/13,128,440,625 = 13,128,440,625/x
  3. Step 3: Cross multiply
    6,133,420,410x = 13,128,440,625 × 13,128,440,625
  4. Step 4: Simplify right side
    6,133,420,410x = 172,355,953,244,150,398,976
  5. Step 5: Solve for x
    x = 172,355,953,244,150,398,976/6,133,420,410
  6. Step 6: Final answer
    x = 28,101,115,156.42

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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.