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Finding the Third Proportional to 2,160,873,855 and 4,649,351,562

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Solution

The third proportional to 2,160,873,855 and 4,649,351,562 is: 10,003,577,903.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,873,855 : 4,649,351,562 = 4,649,351,562 : x
  2. Step 2: Convert to fraction form
    2,160,873,855/4,649,351,562 = 4,649,351,562/x
  3. Step 3: Cross multiply
    2,160,873,855x = 4,649,351,562 × 4,649,351,562
  4. Step 4: Simplify right side
    2,160,873,855x = 21,616,469,947,071,840,256
  5. Step 5: Solve for x
    x = 21,616,469,947,071,840,256/2,160,873,855
  6. Step 6: Final answer
    x = 10,003,577,903.01

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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.