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Finding the Third Proportional to 1,166,100,632 and 1,788,125,853

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Solution

The third proportional to 1,166,100,632 and 1,788,125,853 is: 2,741,953,806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,100,632 : 1,788,125,853 = 1,788,125,853 : x
  2. Step 2: Convert to fraction form
    1,166,100,632/1,788,125,853 = 1,788,125,853/x
  3. Step 3: Cross multiply
    1,166,100,632x = 1,788,125,853 × 1,788,125,853
  4. Step 4: Simplify right side
    1,166,100,632x = 3,197,394,066,166,977,536
  5. Step 5: Solve for x
    x = 3,197,394,066,166,977,536/1,166,100,632
  6. Step 6: Final answer
    x = 2,741,953,806.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.