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Finding the Third Proportional to 814,818,085 and 1,292,352,067

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Solution

The third proportional to 814,818,085 and 1,292,352,067 is: 2,049,750,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,818,085 : 1,292,352,067 = 1,292,352,067 : x
  2. Step 2: Convert to fraction form
    814,818,085/1,292,352,067 = 1,292,352,067/x
  3. Step 3: Cross multiply
    814,818,085x = 1,292,352,067 × 1,292,352,067
  4. Step 4: Simplify right side
    814,818,085x = 1,670,173,865,079,172,608
  5. Step 5: Solve for x
    x = 1,670,173,865,079,172,608/814,818,085
  6. Step 6: Final answer
    x = 2,049,750,607.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.