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Finding the Third Proportional to 3,029,251.50 and 6,563,190.38

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Solution

The third proportional to 3,029,251.50 and 6,563,190.38 is: 14,219,838.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,251.50 : 6,563,190.38 = 6,563,190.38 : x
  2. Step 2: Convert to fraction form
    3,029,251.50/6,563,190.38 = 6,563,190.38/x
  3. Step 3: Cross multiply
    3,029,251.50x = 6,563,190.38 × 6,563,190.38
  4. Step 4: Simplify right side
    3,029,251.50x = 43,075,467,898,492.64
  5. Step 5: Solve for x
    x = 43,075,467,898,492.64/3,029,251.50
  6. Step 6: Final answer
    x = 14,219,838.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.