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Finding the Third Proportional to 3,168,686 and 6,842,407

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Solution

The third proportional to 3,168,686 and 6,842,407 is: 14,775,378.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168,686 : 6,842,407 = 6,842,407 : x
  2. Step 2: Convert to fraction form
    3,168,686/6,842,407 = 6,842,407/x
  3. Step 3: Cross multiply
    3,168,686x = 6,842,407 × 6,842,407
  4. Step 4: Simplify right side
    3,168,686x = 46,818,533,553,649
  5. Step 5: Solve for x
    x = 46,818,533,553,649/3,168,686
  6. Step 6: Final answer
    x = 14,775,378.04

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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.