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Finding the Third Proportional to 10,903,230 and 16,880,593.50

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Solution

The third proportional to 10,903,230 and 16,880,593.50 is: 26,134,864.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903,230 : 16,880,593.50 = 16,880,593.50 : x
  2. Step 2: Convert to fraction form
    10,903,230/16,880,593.50 = 16,880,593.50/x
  3. Step 3: Cross multiply
    10,903,230x = 16,880,593.50 × 16,880,593.50
  4. Step 4: Simplify right side
    10,903,230x = 284,954,436,912,242.25
  5. Step 5: Solve for x
    x = 284,954,436,912,242.25/10,903,230
  6. Step 6: Final answer
    x = 26,134,864.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.