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Finding the Third Proportional to 2,151,032,012 and 4,628,950,006

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Solution

The third proportional to 2,151,032,012 and 4,628,950,006 is: 9,961,347,873.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151,032,012 : 4,628,950,006 = 4,628,950,006 : x
  2. Step 2: Convert to fraction form
    2,151,032,012/4,628,950,006 = 4,628,950,006/x
  3. Step 3: Cross multiply
    2,151,032,012x = 4,628,950,006 × 4,628,950,006
  4. Step 4: Simplify right side
    2,151,032,012x = 21,427,178,158,047,399,936
  5. Step 5: Solve for x
    x = 21,427,178,158,047,399,936/2,151,032,012
  6. Step 6: Final answer
    x = 9,961,347,873.26

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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.