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Finding the Third Proportional to 552,525,788,522 and 1,202,344,523,529

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Solution

The third proportional to 552,525,788,522 and 1,202,344,523,529 is: 2,616,407,022,606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,525,788,522 : 1,202,344,523,529 = 1,202,344,523,529 : x
  2. Step 2: Convert to fraction form
    552,525,788,522/1,202,344,523,529 = 1,202,344,523,529/x
  3. Step 3: Cross multiply
    552,525,788,522x = 1,202,344,523,529 × 1,202,344,523,529
  4. Step 4: Simplify right side
    552,525,788,522x = 1,445,632,353,260,178,084,200,448
  5. Step 5: Solve for x
    x = 1,445,632,353,260,178,084,200,448/552,525,788,522
  6. Step 6: Final answer
    x = 2,616,407,022,606.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.