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Finding the Third Proportional to 1,180,535,554 and 1,764,296,755

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Solution

The third proportional to 1,180,535,554 and 1,764,296,755 is: 2,636,721,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,535,554 : 1,764,296,755 = 1,764,296,755 : x
  2. Step 2: Convert to fraction form
    1,180,535,554/1,764,296,755 = 1,764,296,755/x
  3. Step 3: Cross multiply
    1,180,535,554x = 1,764,296,755 × 1,764,296,755
  4. Step 4: Simplify right side
    1,180,535,554x = 3,112,743,039,703,529,984
  5. Step 5: Solve for x
    x = 3,112,743,039,703,529,984/1,180,535,554
  6. Step 6: Final answer
    x = 2,636,721,129.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.