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Finding the Third Proportional to 11,756,137,362 and 25,382,420,706

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Solution

The third proportional to 11,756,137,362 and 25,382,420,706 is: 54,802,632,961.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756,137,362 : 25,382,420,706 = 25,382,420,706 : x
  2. Step 2: Convert to fraction form
    11,756,137,362/25,382,420,706 = 25,382,420,706/x
  3. Step 3: Cross multiply
    11,756,137,362x = 25,382,420,706 × 25,382,420,706
  4. Step 4: Simplify right side
    11,756,137,362x = 644,267,280,896,377,487,360
  5. Step 5: Solve for x
    x = 644,267,280,896,377,487,360/11,756,137,362
  6. Step 6: Final answer
    x = 54,802,632,961.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.