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Finding the Third Proportional to 7,669,674 and 16,416,687

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Solution

The third proportional to 7,669,674 and 16,416,687 is: 35,139,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669,674 : 16,416,687 = 16,416,687 : x
  2. Step 2: Convert to fraction form
    7,669,674/16,416,687 = 16,416,687/x
  3. Step 3: Cross multiply
    7,669,674x = 16,416,687 × 16,416,687
  4. Step 4: Simplify right side
    7,669,674x = 269,507,612,055,969
  5. Step 5: Solve for x
    x = 269,507,612,055,969/7,669,674
  6. Step 6: Final answer
    x = 35,139,382.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.