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Finding the Third Proportional to 7,798,966 and 16,831,012

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Solution

The third proportional to 7,798,966 and 16,831,012 is: 36,323,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798,966 : 16,831,012 = 16,831,012 : x
  2. Step 2: Convert to fraction form
    7,798,966/16,831,012 = 16,831,012/x
  3. Step 3: Cross multiply
    7,798,966x = 16,831,012 × 16,831,012
  4. Step 4: Simplify right side
    7,798,966x = 283,282,964,944,144
  5. Step 5: Solve for x
    x = 283,282,964,944,144/7,798,966
  6. Step 6: Final answer
    x = 36,323,143.98

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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.