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Finding the Third Proportional to 5,710,910 and 7,831,203

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Solution

The third proportional to 5,710,910 and 7,831,203 is: 10,738,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710,910 : 7,831,203 = 7,831,203 : x
  2. Step 2: Convert to fraction form
    5,710,910/7,831,203 = 7,831,203/x
  3. Step 3: Cross multiply
    5,710,910x = 7,831,203 × 7,831,203
  4. Step 4: Simplify right side
    5,710,910x = 61,327,740,427,209
  5. Step 5: Solve for x
    x = 61,327,740,427,209/5,710,910
  6. Step 6: Final answer
    x = 10,738,698.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.