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Finding the Third Proportional to 3,645,784 and 7,978,040

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Solution

The third proportional to 3,645,784 and 7,978,040 is: 17,458,281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645,784 : 7,978,040 = 7,978,040 : x
  2. Step 2: Convert to fraction form
    3,645,784/7,978,040 = 7,978,040/x
  3. Step 3: Cross multiply
    3,645,784x = 7,978,040 × 7,978,040
  4. Step 4: Simplify right side
    3,645,784x = 63,649,122,241,600
  5. Step 5: Solve for x
    x = 63,649,122,241,600/3,645,784
  6. Step 6: Final answer
    x = 17,458,281.19

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.