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Finding the Third Proportional to 3,458,819,355,138 and 7,203,923,086,308

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Solution

The third proportional to 3,458,819,355,138 and 7,203,923,086,308 is: 15,004,110,508,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458,819,355,138 : 7,203,923,086,308 = 7,203,923,086,308 : x
  2. Step 2: Convert to fraction form
    3,458,819,355,138/7,203,923,086,308 = 7,203,923,086,308/x
  3. Step 3: Cross multiply
    3,458,819,355,138x = 7,203,923,086,308 × 7,203,923,086,308
  4. Step 4: Simplify right side
    3,458,819,355,138x = 51,896,507,833,441,381,173,428,224
  5. Step 5: Solve for x
    x = 51,896,507,833,441,381,173,428,224/3,458,819,355,138
  6. Step 6: Final answer
    x = 15,004,110,508,503.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.