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Finding the Third Proportional to 9,497,268 and 19,329,896.25

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Solution

The third proportional to 9,497,268 and 19,329,896.25 is: 39,342,354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497,268 : 19,329,896.25 = 19,329,896.25 : x
  2. Step 2: Convert to fraction form
    9,497,268/19,329,896.25 = 19,329,896.25/x
  3. Step 3: Cross multiply
    9,497,268x = 19,329,896.25 × 19,329,896.25
  4. Step 4: Simplify right side
    9,497,268x = 373,644,889,035,764.06
  5. Step 5: Solve for x
    x = 373,644,889,035,764.06/9,497,268
  6. Step 6: Final answer
    x = 39,342,354.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.