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Finding the Third Proportional to 7,749,760 and 10,638,312

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Solution

The third proportional to 7,749,760 and 10,638,312 is: 14,603,508.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749,760 : 10,638,312 = 10,638,312 : x
  2. Step 2: Convert to fraction form
    7,749,760/10,638,312 = 10,638,312/x
  3. Step 3: Cross multiply
    7,749,760x = 10,638,312 × 10,638,312
  4. Step 4: Simplify right side
    7,749,760x = 113,173,682,209,344
  5. Step 5: Solve for x
    x = 113,173,682,209,344/7,749,760
  6. Step 6: Final answer
    x = 14,603,508.01

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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.