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Finding the Third Proportional to 265,400,998,006 and 584,899,173,116

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Solution

The third proportional to 265,400,998,006 and 584,899,173,116 is: 1,289,019,428,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,400,998,006 : 584,899,173,116 = 584,899,173,116 : x
  2. Step 2: Convert to fraction form
    265,400,998,006/584,899,173,116 = 584,899,173,116/x
  3. Step 3: Cross multiply
    265,400,998,006x = 584,899,173,116 × 584,899,173,116
  4. Step 4: Simplify right side
    265,400,998,006x = 342,107,042,711,780,550,770,688
  5. Step 5: Solve for x
    x = 342,107,042,711,780,550,770,688/265,400,998,006
  6. Step 6: Final answer
    x = 1,289,019,428,269.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.