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Finding the Third Proportional to 682,407,344 and 1,473,552,004

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Solution

The third proportional to 682,407,344 and 1,473,552,004 is: 3,181,905,247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,407,344 : 1,473,552,004 = 1,473,552,004 : x
  2. Step 2: Convert to fraction form
    682,407,344/1,473,552,004 = 1,473,552,004/x
  3. Step 3: Cross multiply
    682,407,344x = 1,473,552,004 × 1,473,552,004
  4. Step 4: Simplify right side
    682,407,344x = 2,171,355,508,492,416,000
  5. Step 5: Solve for x
    x = 2,171,355,508,492,416,000/682,407,344
  6. Step 6: Final answer
    x = 3,181,905,247.04

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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.