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Finding the Third Proportional to 7,661,674 and 16,485,749

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Solution

The third proportional to 7,661,674 and 16,485,749 is: 35,472,655.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661,674 : 16,485,749 = 16,485,749 : x
  2. Step 2: Convert to fraction form
    7,661,674/16,485,749 = 16,485,749/x
  3. Step 3: Cross multiply
    7,661,674x = 16,485,749 × 16,485,749
  4. Step 4: Simplify right side
    7,661,674x = 271,779,920,091,001
  5. Step 5: Solve for x
    x = 271,779,920,091,001/7,661,674
  6. Step 6: Final answer
    x = 35,472,655.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.