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Finding the Third Proportional to 7,492,765 and 16,245,242

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Solution

The third proportional to 7,492,765 and 16,245,242 is: 35,221,695.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492,765 : 16,245,242 = 16,245,242 : x
  2. Step 2: Convert to fraction form
    7,492,765/16,245,242 = 16,245,242/x
  3. Step 3: Cross multiply
    7,492,765x = 16,245,242 × 16,245,242
  4. Step 4: Simplify right side
    7,492,765x = 263,907,887,638,564
  5. Step 5: Solve for x
    x = 263,907,887,638,564/7,492,765
  6. Step 6: Final answer
    x = 35,221,695.55

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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.