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Finding the Third Proportional to 9,214,128 and 20,048,823

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Solution

The third proportional to 9,214,128 and 20,048,823 is: 43,623,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214,128 : 20,048,823 = 20,048,823 : x
  2. Step 2: Convert to fraction form
    9,214,128/20,048,823 = 20,048,823/x
  3. Step 3: Cross multiply
    9,214,128x = 20,048,823 × 20,048,823
  4. Step 4: Simplify right side
    9,214,128x = 401,955,303,685,329
  5. Step 5: Solve for x
    x = 401,955,303,685,329/9,214,128
  6. Step 6: Final answer
    x = 43,623,802.89

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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.