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Finding the Third Proportional to 845,010,728 and 1,814,969,032

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Solution

The third proportional to 845,010,728 and 1,814,969,032 is: 3,898,308,598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,010,728 : 1,814,969,032 = 1,814,969,032 : x
  2. Step 2: Convert to fraction form
    845,010,728/1,814,969,032 = 1,814,969,032/x
  3. Step 3: Cross multiply
    845,010,728x = 1,814,969,032 × 1,814,969,032
  4. Step 4: Simplify right side
    845,010,728x = 3,294,112,587,119,016,960
  5. Step 5: Solve for x
    x = 3,294,112,587,119,016,960/845,010,728
  6. Step 6: Final answer
    x = 3,898,308,598.89

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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.