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Finding the Third Proportional to 6,646,608 and 14,459,616

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Solution

The third proportional to 6,646,608 and 14,459,616 is: 31,456,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646,608 : 14,459,616 = 14,459,616 : x
  2. Step 2: Convert to fraction form
    6,646,608/14,459,616 = 14,459,616/x
  3. Step 3: Cross multiply
    6,646,608x = 14,459,616 × 14,459,616
  4. Step 4: Simplify right side
    6,646,608x = 209,080,494,867,456
  5. Step 5: Solve for x
    x = 209,080,494,867,456/6,646,608
  6. Step 6: Final answer
    x = 31,456,721.21

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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.