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Finding the Third Proportional to 6,644,176 and 14,209,686

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Solution

The third proportional to 6,644,176 and 14,209,686 is: 30,389,799.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644,176 : 14,209,686 = 14,209,686 : x
  2. Step 2: Convert to fraction form
    6,644,176/14,209,686 = 14,209,686/x
  3. Step 3: Cross multiply
    6,644,176x = 14,209,686 × 14,209,686
  4. Step 4: Simplify right side
    6,644,176x = 201,915,176,218,596
  5. Step 5: Solve for x
    x = 201,915,176,218,596/6,644,176
  6. Step 6: Final answer
    x = 30,389,799.46

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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.