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Finding the Third Proportional to 8,936,297 and 19,289,768

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Solution

The third proportional to 8,936,297 and 19,289,768 is: 41,638,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,936,297 : 19,289,768 = 19,289,768 : x
  2. Step 2: Convert to fraction form
    8,936,297/19,289,768 = 19,289,768/x
  3. Step 3: Cross multiply
    8,936,297x = 19,289,768 × 19,289,768
  4. Step 4: Simplify right side
    8,936,297x = 372,095,149,493,824
  5. Step 5: Solve for x
    x = 372,095,149,493,824/8,936,297
  6. Step 6: Final answer
    x = 41,638,628.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.