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Finding the Third Proportional to 2,211,702,416 and 4,751,627,524

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Solution

The third proportional to 2,211,702,416 and 4,751,627,524 is: 10,208,409,577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211,702,416 : 4,751,627,524 = 4,751,627,524 : x
  2. Step 2: Convert to fraction form
    2,211,702,416/4,751,627,524 = 4,751,627,524/x
  3. Step 3: Cross multiply
    2,211,702,416x = 4,751,627,524 × 4,751,627,524
  4. Step 4: Simplify right side
    2,211,702,416x = 22,577,964,126,834,372,608
  5. Step 5: Solve for x
    x = 22,577,964,126,834,372,608/2,211,702,416
  6. Step 6: Final answer
    x = 10,208,409,577.84

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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.