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Finding the Third Proportional to 51,663,058,612 and 80,866,797,075

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Solution

The third proportional to 51,663,058,612 and 80,866,797,075 is: 126,578,623,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,663,058,612 : 80,866,797,075 = 80,866,797,075 : x
  2. Step 2: Convert to fraction form
    51,663,058,612/80,866,797,075 = 80,866,797,075/x
  3. Step 3: Cross multiply
    51,663,058,612x = 80,866,797,075 × 80,866,797,075
  4. Step 4: Simplify right side
    51,663,058,612x = 6,539,438,869,169,229,004,800
  5. Step 5: Solve for x
    x = 6,539,438,869,169,229,004,800/51,663,058,612
  6. Step 6: Final answer
    x = 126,578,623,969.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.