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Finding the Third Proportional to 4,659,284 and 9,966,286

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Solution

The third proportional to 4,659,284 and 9,966,286 is: 21,318,051.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659,284 : 9,966,286 = 9,966,286 : x
  2. Step 2: Convert to fraction form
    4,659,284/9,966,286 = 9,966,286/x
  3. Step 3: Cross multiply
    4,659,284x = 9,966,286 × 9,966,286
  4. Step 4: Simplify right side
    4,659,284x = 99,326,856,633,796
  5. Step 5: Solve for x
    x = 99,326,856,633,796/4,659,284
  6. Step 6: Final answer
    x = 21,318,051.58

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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.