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Finding the Third Proportional to 1,642,609,907,192 and 2,414,709,431,751

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Solution

The third proportional to 1,642,609,907,192 and 2,414,709,431,751 is: 3,549,729,984,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,609,907,192 : 2,414,709,431,751 = 2,414,709,431,751 : x
  2. Step 2: Convert to fraction form
    1,642,609,907,192/2,414,709,431,751 = 2,414,709,431,751/x
  3. Step 3: Cross multiply
    1,642,609,907,192x = 2,414,709,431,751 × 2,414,709,431,751
  4. Step 4: Simplify right side
    1,642,609,907,192x = 5,830,821,639,787,237,190,139,904
  5. Step 5: Solve for x
    x = 5,830,821,639,787,237,190,139,904/1,642,609,907,192
  6. Step 6: Final answer
    x = 3,549,729,984,129.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.