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Finding the Third Proportional to 548,702,616 and 1,183,555,248

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Solution

The third proportional to 548,702,616 and 1,183,555,248 is: 2,552,936,662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,702,616 : 1,183,555,248 = 1,183,555,248 : x
  2. Step 2: Convert to fraction form
    548,702,616/1,183,555,248 = 1,183,555,248/x
  3. Step 3: Cross multiply
    548,702,616x = 1,183,555,248 × 1,183,555,248
  4. Step 4: Simplify right side
    548,702,616x = 1,400,803,025,068,341,504
  5. Step 5: Solve for x
    x = 1,400,803,025,068,341,504/548,702,616
  6. Step 6: Final answer
    x = 2,552,936,662.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.