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Finding the Third Proportional to 2,486,366,048,349 and 5,410,550,355,879

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Solution

The third proportional to 2,486,366,048,349 and 5,410,550,355,879 is: 11,773,831,601,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486,366,048,349 : 5,410,550,355,879 = 5,410,550,355,879 : x
  2. Step 2: Convert to fraction form
    2,486,366,048,349/5,410,550,355,879 = 5,410,550,355,879/x
  3. Step 3: Cross multiply
    2,486,366,048,349x = 5,410,550,355,879 × 5,410,550,355,879
  4. Step 4: Simplify right side
    2,486,366,048,349x = 29,274,055,153,502,373,913,034,752
  5. Step 5: Solve for x
    x = 29,274,055,153,502,373,913,034,752/2,486,366,048,349
  6. Step 6: Final answer
    x = 11,773,831,601,722.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.