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Finding the Third Proportional to 3,168,584 and 6,842,208

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Solution

The third proportional to 3,168,584 and 6,842,208 is: 14,774,994.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168,584 : 6,842,208 = 6,842,208 : x
  2. Step 2: Convert to fraction form
    3,168,584/6,842,208 = 6,842,208/x
  3. Step 3: Cross multiply
    3,168,584x = 6,842,208 × 6,842,208
  4. Step 4: Simplify right side
    3,168,584x = 46,815,810,315,264
  5. Step 5: Solve for x
    x = 46,815,810,315,264/3,168,584
  6. Step 6: Final answer
    x = 14,774,994.23

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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.