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Finding the Third Proportional to 3,826,893,218.63 and 5,990,133,099.94

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Solution

The third proportional to 3,826,893,218.63 and 5,990,133,099.94 is: 9,376,194,344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826,893,218.63 : 5,990,133,099.94 = 5,990,133,099.94 : x
  2. Step 2: Convert to fraction form
    3,826,893,218.63/5,990,133,099.94 = 5,990,133,099.94/x
  3. Step 3: Cross multiply
    3,826,893,218.63x = 5,990,133,099.94 × 5,990,133,099.94
  4. Step 4: Simplify right side
    3,826,893,218.63x = 35,881,694,554,968,043,520
  5. Step 5: Solve for x
    x = 35,881,694,554,968,043,520/3,826,893,218.63
  6. Step 6: Final answer
    x = 9,376,194,344.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.