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Finding the Third Proportional to 30,850,539,774 and 43,444,358,145

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Solution

The third proportional to 30,850,539,774 and 43,444,358,145 is: 61,179,229,551.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,850,539,774 : 43,444,358,145 = 43,444,358,145 : x
  2. Step 2: Convert to fraction form
    30,850,539,774/43,444,358,145 = 43,444,358,145/x
  3. Step 3: Cross multiply
    30,850,539,774x = 43,444,358,145 × 43,444,358,145
  4. Step 4: Simplify right side
    30,850,539,774x = 1,887,412,254,631,027,802,112
  5. Step 5: Solve for x
    x = 1,887,412,254,631,027,802,112/30,850,539,774
  6. Step 6: Final answer
    x = 61,179,229,551.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.