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Finding the Third Proportional to 3,027,034 and 6,513,284

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Solution

The third proportional to 3,027,034 and 6,513,284 is: 14,014,665.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027,034 : 6,513,284 = 6,513,284 : x
  2. Step 2: Convert to fraction form
    3,027,034/6,513,284 = 6,513,284/x
  3. Step 3: Cross multiply
    3,027,034x = 6,513,284 × 6,513,284
  4. Step 4: Simplify right side
    3,027,034x = 42,422,868,464,656
  5. Step 5: Solve for x
    x = 42,422,868,464,656/3,027,034
  6. Step 6: Final answer
    x = 14,014,665.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.