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Finding the Third Proportional to 5,823,713 and 9,008,127

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Solution

The third proportional to 5,823,713 and 9,008,127 is: 13,933,782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823,713 : 9,008,127 = 9,008,127 : x
  2. Step 2: Convert to fraction form
    5,823,713/9,008,127 = 9,008,127/x
  3. Step 3: Cross multiply
    5,823,713x = 9,008,127 × 9,008,127
  4. Step 4: Simplify right side
    5,823,713x = 81,146,352,048,129
  5. Step 5: Solve for x
    x = 81,146,352,048,129/5,823,713
  6. Step 6: Final answer
    x = 13,933,782.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.