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Finding the Third Proportional to 3,035,824 and 6,576,100

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Solution

The third proportional to 3,035,824 and 6,576,100 is: 14,244,926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035,824 : 6,576,100 = 6,576,100 : x
  2. Step 2: Convert to fraction form
    3,035,824/6,576,100 = 6,576,100/x
  3. Step 3: Cross multiply
    3,035,824x = 6,576,100 × 6,576,100
  4. Step 4: Simplify right side
    3,035,824x = 43,245,091,210,000
  5. Step 5: Solve for x
    x = 43,245,091,210,000/3,035,824
  6. Step 6: Final answer
    x = 14,244,926.98

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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.