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Finding the Third Proportional to 9,103,578 and 19,505,654

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Solution

The third proportional to 9,103,578 and 19,505,654 is: 41,793,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103,578 : 19,505,654 = 19,505,654 : x
  2. Step 2: Convert to fraction form
    9,103,578/19,505,654 = 19,505,654/x
  3. Step 3: Cross multiply
    9,103,578x = 19,505,654 × 19,505,654
  4. Step 4: Simplify right side
    9,103,578x = 380,470,537,967,716
  5. Step 5: Solve for x
    x = 380,470,537,967,716/9,103,578
  6. Step 6: Final answer
    x = 41,793,516.57

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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.