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Finding the Third Proportional to 6,906,025 and 10,833,515

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Solution

The third proportional to 6,906,025 and 10,833,515 is: 16,994,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906,025 : 10,833,515 = 10,833,515 : x
  2. Step 2: Convert to fraction form
    6,906,025/10,833,515 = 10,833,515/x
  3. Step 3: Cross multiply
    6,906,025x = 10,833,515 × 10,833,515
  4. Step 4: Simplify right side
    6,906,025x = 117,365,047,255,225
  5. Step 5: Solve for x
    x = 117,365,047,255,225/6,906,025
  6. Step 6: Final answer
    x = 16,994,587.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.