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Finding the Third Proportional to 2,621,830,856 and 5,617,629,728

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Solution

The third proportional to 2,621,830,856 and 5,617,629,728 is: 12,036,536,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621,830,856 : 5,617,629,728 = 5,617,629,728 : x
  2. Step 2: Convert to fraction form
    2,621,830,856/5,617,629,728 = 5,617,629,728/x
  3. Step 3: Cross multiply
    2,621,830,856x = 5,617,629,728 × 5,617,629,728
  4. Step 4: Simplify right side
    2,621,830,856x = 31,557,763,760,909,352,960
  5. Step 5: Solve for x
    x = 31,557,763,760,909,352,960/2,621,830,856
  6. Step 6: Final answer
    x = 12,036,536,868.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.