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Finding the Third Proportional to 30,850,539,772 and 43,444,358,142

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Solution

The third proportional to 30,850,539,772 and 43,444,358,142 is: 61,179,229,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,850,539,772 : 43,444,358,142 = 43,444,358,142 : x
  2. Step 2: Convert to fraction form
    30,850,539,772/43,444,358,142 = 43,444,358,142/x
  3. Step 3: Cross multiply
    30,850,539,772x = 43,444,358,142 × 43,444,358,142
  4. Step 4: Simplify right side
    30,850,539,772x = 1,887,412,254,370,361,769,984
  5. Step 5: Solve for x
    x = 1,887,412,254,370,361,769,984/30,850,539,772
  6. Step 6: Final answer
    x = 61,179,229,547.33

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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.