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Finding the Third Proportional to 4,690,147 and 10,278,097

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Solution

The third proportional to 4,690,147 and 10,278,097 is: 22,523,660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690,147 : 10,278,097 = 10,278,097 : x
  2. Step 2: Convert to fraction form
    4,690,147/10,278,097 = 10,278,097/x
  3. Step 3: Cross multiply
    4,690,147x = 10,278,097 × 10,278,097
  4. Step 4: Simplify right side
    4,690,147x = 105,639,277,941,409
  5. Step 5: Solve for x
    x = 105,639,277,941,409/4,690,147
  6. Step 6: Final answer
    x = 22,523,660.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.