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Finding the Third Proportional to 6,948,586 and 10,024,252.50

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Solution

The third proportional to 6,948,586 and 10,024,252.50 is: 14,461,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948,586 : 10,024,252.50 = 10,024,252.50 : x
  2. Step 2: Convert to fraction form
    6,948,586/10,024,252.50 = 10,024,252.50/x
  3. Step 3: Cross multiply
    6,948,586x = 10,024,252.50 × 10,024,252.50
  4. Step 4: Simplify right side
    6,948,586x = 100,485,638,183,756.25
  5. Step 5: Solve for x
    x = 100,485,638,183,756.25/6,948,586
  6. Step 6: Final answer
    x = 14,461,307.41

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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.