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Finding the Third Proportional to 9,971,003.81 and 21,689,033.34

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Solution

The third proportional to 9,971,003.81 and 21,689,033.34 is: 47,178,215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971,003.81 : 21,689,033.34 = 21,689,033.34 : x
  2. Step 2: Convert to fraction form
    9,971,003.81/21,689,033.34 = 21,689,033.34/x
  3. Step 3: Cross multiply
    9,971,003.81x = 21,689,033.34 × 21,689,033.34
  4. Step 4: Simplify right side
    9,971,003.81x = 470,414,167,386,299.31
  5. Step 5: Solve for x
    x = 470,414,167,386,299.31/9,971,003.81
  6. Step 6: Final answer
    x = 47,178,215.58

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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.