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Finding the Third Proportional to 7,402,016 and 16,505,969

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Solution

The third proportional to 7,402,016 and 16,505,969 is: 36,807,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402,016 : 16,505,969 = 16,505,969 : x
  2. Step 2: Convert to fraction form
    7,402,016/16,505,969 = 16,505,969/x
  3. Step 3: Cross multiply
    7,402,016x = 16,505,969 × 16,505,969
  4. Step 4: Simplify right side
    7,402,016x = 272,447,012,628,961
  5. Step 5: Solve for x
    x = 272,447,012,628,961/7,402,016
  6. Step 6: Final answer
    x = 36,807,136.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.