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Finding the Third Proportional to 34,971,752,016 and 53,720,888,736

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Solution

The third proportional to 34,971,752,016 and 53,720,888,736 is: 82,521,856,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,971,752,016 : 53,720,888,736 = 53,720,888,736 : x
  2. Step 2: Convert to fraction form
    34,971,752,016/53,720,888,736 = 53,720,888,736/x
  3. Step 3: Cross multiply
    34,971,752,016x = 53,720,888,736 × 53,720,888,736
  4. Step 4: Simplify right side
    34,971,752,016x = 2,885,933,886,585,691,439,104
  5. Step 5: Solve for x
    x = 2,885,933,886,585,691,439,104/34,971,752,016
  6. Step 6: Final answer
    x = 82,521,856,075.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.