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Finding the Third Proportional to 3,670,165 and 5,643,787

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Solution

The third proportional to 3,670,165 and 5,643,787 is: 8,678,719.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670,165 : 5,643,787 = 5,643,787 : x
  2. Step 2: Convert to fraction form
    3,670,165/5,643,787 = 5,643,787/x
  3. Step 3: Cross multiply
    3,670,165x = 5,643,787 × 5,643,787
  4. Step 4: Simplify right side
    3,670,165x = 31,852,331,701,369
  5. Step 5: Solve for x
    x = 31,852,331,701,369/3,670,165
  6. Step 6: Final answer
    x = 8,678,719.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.