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Finding the Third Proportional to 2,129,302,843 and 4,659,328,825

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Solution

The third proportional to 2,129,302,843 and 4,659,328,825 is: 10,195,517,829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,302,843 : 4,659,328,825 = 4,659,328,825 : x
  2. Step 2: Convert to fraction form
    2,129,302,843/4,659,328,825 = 4,659,328,825/x
  3. Step 3: Cross multiply
    2,129,302,843x = 4,659,328,825 × 4,659,328,825
  4. Step 4: Simplify right side
    2,129,302,843x = 21,709,345,099,475,881,984
  5. Step 5: Solve for x
    x = 21,709,345,099,475,881,984/2,129,302,843
  6. Step 6: Final answer
    x = 10,195,517,829.15

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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.