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Finding the Third Proportional to 7,798,971 and 16,831,035

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Solution

The third proportional to 7,798,971 and 16,831,035 is: 36,323,219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798,971 : 16,831,035 = 16,831,035 : x
  2. Step 2: Convert to fraction form
    7,798,971/16,831,035 = 16,831,035/x
  3. Step 3: Cross multiply
    7,798,971x = 16,831,035 × 16,831,035
  4. Step 4: Simplify right side
    7,798,971x = 283,283,739,171,225
  5. Step 5: Solve for x
    x = 283,283,739,171,225/7,798,971
  6. Step 6: Final answer
    x = 36,323,219.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.