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Finding the Third Proportional to 1,798,680,726 and 4,010,936,436

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Solution

The third proportional to 1,798,680,726 and 4,010,936,436 is: 8,944,117,130.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798,680,726 : 4,010,936,436 = 4,010,936,436 : x
  2. Step 2: Convert to fraction form
    1,798,680,726/4,010,936,436 = 4,010,936,436/x
  3. Step 3: Cross multiply
    1,798,680,726x = 4,010,936,436 × 4,010,936,436
  4. Step 4: Simplify right side
    1,798,680,726x = 16,087,611,093,632,382,976
  5. Step 5: Solve for x
    x = 16,087,611,093,632,382,976/1,798,680,726
  6. Step 6: Final answer
    x = 8,944,117,130.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.