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Finding the Third Proportional to 2,627,008 and 5,673,984

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Solution

The third proportional to 2,627,008 and 5,673,984 is: 12,255,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627,008 : 5,673,984 = 5,673,984 : x
  2. Step 2: Convert to fraction form
    2,627,008/5,673,984 = 5,673,984/x
  3. Step 3: Cross multiply
    2,627,008x = 5,673,984 × 5,673,984
  4. Step 4: Simplify right side
    2,627,008x = 32,194,094,432,256
  5. Step 5: Solve for x
    x = 32,194,094,432,256/2,627,008
  6. Step 6: Final answer
    x = 12,255,042.40

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