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Finding the Third Proportional to 5,542,775,734.50 and 11,478,441,501

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Solution

The third proportional to 5,542,775,734.50 and 11,478,441,501 is: 23,770,512,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542,775,734.50 : 11,478,441,501 = 11,478,441,501 : x
  2. Step 2: Convert to fraction form
    5,542,775,734.50/11,478,441,501 = 11,478,441,501/x
  3. Step 3: Cross multiply
    5,542,775,734.50x = 11,478,441,501 × 11,478,441,501
  4. Step 4: Simplify right side
    5,542,775,734.50x = 131,754,619,291,879,129,088
  5. Step 5: Solve for x
    x = 131,754,619,291,879,129,088/5,542,775,734.50
  6. Step 6: Final answer
    x = 23,770,512,393.60

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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.