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Finding the Third Proportional to 845,010,720 and 1,814,969,016

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Solution

The third proportional to 845,010,720 and 1,814,969,016 is: 3,898,308,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,010,720 : 1,814,969,016 = 1,814,969,016 : x
  2. Step 2: Convert to fraction form
    845,010,720/1,814,969,016 = 1,814,969,016/x
  3. Step 3: Cross multiply
    845,010,720x = 1,814,969,016 × 1,814,969,016
  4. Step 4: Simplify right side
    845,010,720x = 3,294,112,529,040,008,192
  5. Step 5: Solve for x
    x = 3,294,112,529,040,008,192/845,010,720
  6. Step 6: Final answer
    x = 3,898,308,567.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.