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Finding the Third Proportional to 7,476,970 and 16,213,644

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Solution

The third proportional to 7,476,970 and 16,213,644 is: 35,158,928.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476,970 : 16,213,644 = 16,213,644 : x
  2. Step 2: Convert to fraction form
    7,476,970/16,213,644 = 16,213,644/x
  3. Step 3: Cross multiply
    7,476,970x = 16,213,644 × 16,213,644
  4. Step 4: Simplify right side
    7,476,970x = 262,882,251,758,736
  5. Step 5: Solve for x
    x = 262,882,251,758,736/7,476,970
  6. Step 6: Final answer
    x = 35,158,928.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.