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Finding the Third Proportional to 9,645,214 and 20,804,846

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Solution

The third proportional to 9,645,214 and 20,804,846 is: 44,876,310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645,214 : 20,804,846 = 20,804,846 : x
  2. Step 2: Convert to fraction form
    9,645,214/20,804,846 = 20,804,846/x
  3. Step 3: Cross multiply
    9,645,214x = 20,804,846 × 20,804,846
  4. Step 4: Simplify right side
    9,645,214x = 432,841,617,083,716
  5. Step 5: Solve for x
    x = 432,841,617,083,716/9,645,214
  6. Step 6: Final answer
    x = 44,876,310.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.