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Finding the Third Proportional to 552,525,788,535 and 1,202,344,523,554

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Solution

The third proportional to 552,525,788,535 and 1,202,344,523,554 is: 2,616,407,022,653.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,525,788,535 : 1,202,344,523,554 = 1,202,344,523,554 : x
  2. Step 2: Convert to fraction form
    552,525,788,535/1,202,344,523,554 = 1,202,344,523,554/x
  3. Step 3: Cross multiply
    552,525,788,535x = 1,202,344,523,554 × 1,202,344,523,554
  4. Step 4: Simplify right side
    552,525,788,535x = 1,445,632,353,320,295,278,313,472
  5. Step 5: Solve for x
    x = 1,445,632,353,320,295,278,313,472/552,525,788,535
  6. Step 6: Final answer
    x = 2,616,407,022,653.79

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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.