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Finding the Third Proportional to 6,551,616 and 14,176,384

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Solution

The third proportional to 6,551,616 and 14,176,384 is: 30,674,853.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551,616 : 14,176,384 = 14,176,384 : x
  2. Step 2: Convert to fraction form
    6,551,616/14,176,384 = 14,176,384/x
  3. Step 3: Cross multiply
    6,551,616x = 14,176,384 × 14,176,384
  4. Step 4: Simplify right side
    6,551,616x = 200,969,863,315,456
  5. Step 5: Solve for x
    x = 200,969,863,315,456/6,551,616
  6. Step 6: Final answer
    x = 30,674,853.86

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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.