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Finding the Third Proportional to 682,407,375 and 1,473,552,066

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Solution

The third proportional to 682,407,375 and 1,473,552,066 is: 3,181,905,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,407,375 : 1,473,552,066 = 1,473,552,066 : x
  2. Step 2: Convert to fraction form
    682,407,375/1,473,552,066 = 1,473,552,066/x
  3. Step 3: Cross multiply
    682,407,375x = 1,473,552,066 × 1,473,552,066
  4. Step 4: Simplify right side
    682,407,375x = 2,171,355,691,212,868,352
  5. Step 5: Solve for x
    x = 2,171,355,691,212,868,352/682,407,375
  6. Step 6: Final answer
    x = 3,181,905,370.25

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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.