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Finding the Third Proportional to 7,749,704 and 10,638,228

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Solution

The third proportional to 7,749,704 and 10,638,228 is: 14,603,382.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749,704 : 10,638,228 = 10,638,228 : x
  2. Step 2: Convert to fraction form
    7,749,704/10,638,228 = 10,638,228/x
  3. Step 3: Cross multiply
    7,749,704x = 10,638,228 × 10,638,228
  4. Step 4: Simplify right side
    7,749,704x = 113,171,894,979,984
  5. Step 5: Solve for x
    x = 113,171,894,979,984/7,749,704
  6. Step 6: Final answer
    x = 14,603,382.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.