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Finding the Third Proportional to 591,265,635,704 and 1,213,875,985,240

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Solution

The third proportional to 591,265,635,704 and 1,213,875,985,240 is: 2,492,103,072,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,265,635,704 : 1,213,875,985,240 = 1,213,875,985,240 : x
  2. Step 2: Convert to fraction form
    591,265,635,704/1,213,875,985,240 = 1,213,875,985,240/x
  3. Step 3: Cross multiply
    591,265,635,704x = 1,213,875,985,240 × 1,213,875,985,240
  4. Step 4: Simplify right side
    591,265,635,704x = 1,473,494,907,542,380,736,413,696
  5. Step 5: Solve for x
    x = 1,473,494,907,542,380,736,413,696/591,265,635,704
  6. Step 6: Final answer
    x = 2,492,103,072,738.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.