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Finding the Third Proportional to 2,464,620,717 and 5,480,295,449

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Solution

The third proportional to 2,464,620,717 and 5,480,295,449 is: 12,185,906,740.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464,620,717 : 5,480,295,449 = 5,480,295,449 : x
  2. Step 2: Convert to fraction form
    2,464,620,717/5,480,295,449 = 5,480,295,449/x
  3. Step 3: Cross multiply
    2,464,620,717x = 5,480,295,449 × 5,480,295,449
  4. Step 4: Simplify right side
    2,464,620,717x = 30,033,638,208,330,113,024
  5. Step 5: Solve for x
    x = 30,033,638,208,330,113,024/2,464,620,717
  6. Step 6: Final answer
    x = 12,185,906,740.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.