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Finding the Third Proportional to 4,599,214 and 9,675,138

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Solution

The third proportional to 4,599,214 and 9,675,138 is: 20,353,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599,214 : 9,675,138 = 9,675,138 : x
  2. Step 2: Convert to fraction form
    4,599,214/9,675,138 = 9,675,138/x
  3. Step 3: Cross multiply
    4,599,214x = 9,675,138 × 9,675,138
  4. Step 4: Simplify right side
    4,599,214x = 93,608,295,319,044
  5. Step 5: Solve for x
    x = 93,608,295,319,044/4,599,214
  6. Step 6: Final answer
    x = 20,353,107.14

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.