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Finding the Third Proportional to 5,072,605,749 and 10,493,172,499.50

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Solution

The third proportional to 5,072,605,749 and 10,493,172,499.50 is: 21,706,135,771.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072,605,749 : 10,493,172,499.50 = 10,493,172,499.50 : x
  2. Step 2: Convert to fraction form
    5,072,605,749/10,493,172,499.50 = 10,493,172,499.50/x
  3. Step 3: Cross multiply
    5,072,605,749x = 10,493,172,499.50 × 10,493,172,499.50
  4. Step 4: Simplify right side
    5,072,605,749x = 110,106,669,104,263,069,696
  5. Step 5: Solve for x
    x = 110,106,669,104,263,069,696/5,072,605,749
  6. Step 6: Final answer
    x = 21,706,135,771.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.