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Finding the Third Proportional to 9,831,140 and 15,046,086

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Solution

The third proportional to 9,831,140 and 15,046,086 is: 23,027,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831,140 : 15,046,086 = 15,046,086 : x
  2. Step 2: Convert to fraction form
    9,831,140/15,046,086 = 15,046,086/x
  3. Step 3: Cross multiply
    9,831,140x = 15,046,086 × 15,046,086
  4. Step 4: Simplify right side
    9,831,140x = 226,384,703,919,396
  5. Step 5: Solve for x
    x = 226,384,703,919,396/9,831,140
  6. Step 6: Final answer
    x = 23,027,309.54

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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.