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Finding the Third Proportional to 3,001,532,795.44 and 6,519,768,648.47

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Solution

The third proportional to 3,001,532,795.44 and 6,519,768,648.47 is: 14,161,891,982.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001,532,795.44 : 6,519,768,648.47 = 6,519,768,648.47 : x
  2. Step 2: Convert to fraction form
    3,001,532,795.44/6,519,768,648.47 = 6,519,768,648.47/x
  3. Step 3: Cross multiply
    3,001,532,795.44x = 6,519,768,648.47 × 6,519,768,648.47
  4. Step 4: Simplify right side
    3,001,532,795.44x = 42,507,383,229,556,678,656
  5. Step 5: Solve for x
    x = 42,507,383,229,556,678,656/3,001,532,795.44
  6. Step 6: Final answer
    x = 14,161,891,982.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.