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Finding the Third Proportional to 4,684,666.50 and 10,844,016

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Solution

The third proportional to 4,684,666.50 and 10,844,016 is: 25,101,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684,666.50 : 10,844,016 = 10,844,016 : x
  2. Step 2: Convert to fraction form
    4,684,666.50/10,844,016 = 10,844,016/x
  3. Step 3: Cross multiply
    4,684,666.50x = 10,844,016 × 10,844,016
  4. Step 4: Simplify right side
    4,684,666.50x = 117,592,683,008,256
  5. Step 5: Solve for x
    x = 117,592,683,008,256/4,684,666.50
  6. Step 6: Final answer
    x = 25,101,612.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.