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Finding the Third Proportional to 2,129,302,843.50 and 4,659,328,827

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Solution

The third proportional to 2,129,302,843.50 and 4,659,328,827 is: 10,195,517,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,302,843.50 : 4,659,328,827 = 4,659,328,827 : x
  2. Step 2: Convert to fraction form
    2,129,302,843.50/4,659,328,827 = 4,659,328,827/x
  3. Step 3: Cross multiply
    2,129,302,843.50x = 4,659,328,827 × 4,659,328,827
  4. Step 4: Simplify right side
    2,129,302,843.50x = 21,709,345,118,113,193,984
  5. Step 5: Solve for x
    x = 21,709,345,118,113,193,984/2,129,302,843.50
  6. Step 6: Final answer
    x = 10,195,517,835.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.