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Finding the Third Proportional to 33,948,693,994 and 71,415,497,888

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Solution

The third proportional to 33,948,693,994 and 71,415,497,888 is: 150,231,798,003.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,948,693,994 : 71,415,497,888 = 71,415,497,888 : x
  2. Step 2: Convert to fraction form
    33,948,693,994/71,415,497,888 = 71,415,497,888/x
  3. Step 3: Cross multiply
    33,948,693,994x = 71,415,497,888 × 71,415,497,888
  4. Step 4: Simplify right side
    33,948,693,994x = 5,100,173,338,590,932,107,264
  5. Step 5: Solve for x
    x = 5,100,173,338,590,932,107,264/33,948,693,994
  6. Step 6: Final answer
    x = 150,231,798,003.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.