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Finding the Third Proportional to 9,116,674 and 19,453,700

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Solution

The third proportional to 9,116,674 and 19,453,700 is: 41,511,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116,674 : 19,453,700 = 19,453,700 : x
  2. Step 2: Convert to fraction form
    9,116,674/19,453,700 = 19,453,700/x
  3. Step 3: Cross multiply
    9,116,674x = 19,453,700 × 19,453,700
  4. Step 4: Simplify right side
    9,116,674x = 378,446,443,690,000
  5. Step 5: Solve for x
    x = 378,446,443,690,000/9,116,674
  6. Step 6: Final answer
    x = 41,511,459.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.