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Finding the Third Proportional to 9,971,035 and 21,689,097

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Solution

The third proportional to 9,971,035 and 21,689,097 is: 47,178,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971,035 : 21,689,097 = 21,689,097 : x
  2. Step 2: Convert to fraction form
    9,971,035/21,689,097 = 21,689,097/x
  3. Step 3: Cross multiply
    9,971,035x = 21,689,097 × 21,689,097
  4. Step 4: Simplify right side
    9,971,035x = 470,416,928,675,409
  5. Step 5: Solve for x
    x = 470,416,928,675,409/9,971,035
  6. Step 6: Final answer
    x = 47,178,344.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.