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Finding the Third Proportional to 6,301,623 and 13,499,916

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Solution

The third proportional to 6,301,623 and 13,499,916 is: 28,920,760.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301,623 : 13,499,916 = 13,499,916 : x
  2. Step 2: Convert to fraction form
    6,301,623/13,499,916 = 13,499,916/x
  3. Step 3: Cross multiply
    6,301,623x = 13,499,916 × 13,499,916
  4. Step 4: Simplify right side
    6,301,623x = 182,247,732,007,056
  5. Step 5: Solve for x
    x = 182,247,732,007,056/6,301,623
  6. Step 6: Final answer
    x = 28,920,760.89

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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.