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Finding the Third Proportional to 2,840,040 and 6,169,968

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Solution

The third proportional to 2,840,040 and 6,169,968 is: 13,404,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840,040 : 6,169,968 = 6,169,968 : x
  2. Step 2: Convert to fraction form
    2,840,040/6,169,968 = 6,169,968/x
  3. Step 3: Cross multiply
    2,840,040x = 6,169,968 × 6,169,968
  4. Step 4: Simplify right side
    2,840,040x = 38,068,505,121,024
  5. Step 5: Solve for x
    x = 38,068,505,121,024/2,840,040
  6. Step 6: Final answer
    x = 13,404,214.42

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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.