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Finding the Third Proportional to 6,948,560.50 and 10,024,215

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Solution

The third proportional to 6,948,560.50 and 10,024,215 is: 14,461,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948,560.50 : 10,024,215 = 10,024,215 : x
  2. Step 2: Convert to fraction form
    6,948,560.50/10,024,215 = 10,024,215/x
  3. Step 3: Cross multiply
    6,948,560.50x = 10,024,215 × 10,024,215
  4. Step 4: Simplify right side
    6,948,560.50x = 100,484,886,366,225
  5. Step 5: Solve for x
    x = 100,484,886,366,225/6,948,560.50
  6. Step 6: Final answer
    x = 14,461,252.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.