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Finding the Third Proportional to 4,659,264 and 9,966,246

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Solution

The third proportional to 4,659,264 and 9,966,246 is: 21,317,971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659,264 : 9,966,246 = 9,966,246 : x
  2. Step 2: Convert to fraction form
    4,659,264/9,966,246 = 9,966,246/x
  3. Step 3: Cross multiply
    4,659,264x = 9,966,246 × 9,966,246
  4. Step 4: Simplify right side
    4,659,264x = 99,326,059,332,516
  5. Step 5: Solve for x
    x = 99,326,059,332,516/4,659,264
  6. Step 6: Final answer
    x = 21,317,971.97

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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.