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Finding the Third Proportional to 777,030,068,529 and 1,732,724,531,235

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Solution

The third proportional to 777,030,068,529 and 1,732,724,531,235 is: 3,863,858,585,070.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,030,068,529 : 1,732,724,531,235 = 1,732,724,531,235 : x
  2. Step 2: Convert to fraction form
    777,030,068,529/1,732,724,531,235 = 1,732,724,531,235/x
  3. Step 3: Cross multiply
    777,030,068,529x = 1,732,724,531,235 × 1,732,724,531,235
  4. Step 4: Simplify right side
    777,030,068,529x = 3,002,334,301,143,550,656,512,000
  5. Step 5: Solve for x
    x = 3,002,334,301,143,550,656,512,000/777,030,068,529
  6. Step 6: Final answer
    x = 3,863,858,585,070.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.