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Finding the Third Proportional to 845,239,086 and 1,831,180,032

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Solution

The third proportional to 845,239,086 and 1,831,180,032 is: 3,967,185,575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,239,086 : 1,831,180,032 = 1,831,180,032 : x
  2. Step 2: Convert to fraction form
    845,239,086/1,831,180,032 = 1,831,180,032/x
  3. Step 3: Cross multiply
    845,239,086x = 1,831,180,032 × 1,831,180,032
  4. Step 4: Simplify right side
    845,239,086x = 3,353,220,309,595,521,024
  5. Step 5: Solve for x
    x = 3,353,220,309,595,521,024/845,239,086
  6. Step 6: Final answer
    x = 3,967,185,575.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.