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Finding the Third Proportional to 2,014,280,592 and 4,334,671,296

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Solution

The third proportional to 2,014,280,592 and 4,334,671,296 is: 9,328,082,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,280,592 : 4,334,671,296 = 4,334,671,296 : x
  2. Step 2: Convert to fraction form
    2,014,280,592/4,334,671,296 = 4,334,671,296/x
  3. Step 3: Cross multiply
    2,014,280,592x = 4,334,671,296 × 4,334,671,296
  4. Step 4: Simplify right side
    2,014,280,592x = 18,789,375,244,366,319,616
  5. Step 5: Solve for x
    x = 18,789,375,244,366,319,616/2,014,280,592
  6. Step 6: Final answer
    x = 9,328,082,353.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.