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Finding the Third Proportional to 3,168,864 and 6,842,740

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Solution

The third proportional to 3,168,864 and 6,842,740 is: 14,775,986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168,864 : 6,842,740 = 6,842,740 : x
  2. Step 2: Convert to fraction form
    3,168,864/6,842,740 = 6,842,740/x
  3. Step 3: Cross multiply
    3,168,864x = 6,842,740 × 6,842,740
  4. Step 4: Simplify right side
    3,168,864x = 46,823,090,707,600
  5. Step 5: Solve for x
    x = 46,823,090,707,600/3,168,864
  6. Step 6: Final answer
    x = 14,775,986.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.