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Finding the Third Proportional to 2,151,031,960 and 4,628,949,912

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Solution

The third proportional to 2,151,031,960 and 4,628,949,912 is: 9,961,347,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151,031,960 : 4,628,949,912 = 4,628,949,912 : x
  2. Step 2: Convert to fraction form
    2,151,031,960/4,628,949,912 = 4,628,949,912/x
  3. Step 3: Cross multiply
    2,151,031,960x = 4,628,949,912 × 4,628,949,912
  4. Step 4: Simplify right side
    2,151,031,960x = 21,427,177,287,804,809,216
  5. Step 5: Solve for x
    x = 21,427,177,287,804,809,216/2,151,031,960
  6. Step 6: Final answer
    x = 9,961,347,709.50

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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.