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Finding the Third Proportional to 3,197,616 and 6,851,056

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Solution

The third proportional to 3,197,616 and 6,851,056 is: 14,678,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197,616 : 6,851,056 = 6,851,056 : x
  2. Step 2: Convert to fraction form
    3,197,616/6,851,056 = 6,851,056/x
  3. Step 3: Cross multiply
    3,197,616x = 6,851,056 × 6,851,056
  4. Step 4: Simplify right side
    3,197,616x = 46,936,968,315,136
  5. Step 5: Solve for x
    x = 46,936,968,315,136/3,197,616
  6. Step 6: Final answer
    x = 14,678,738.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.