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Finding the Third Proportional to 905,172,540 and 1,954,582,104

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Solution

The third proportional to 905,172,540 and 1,954,582,104 is: 4,220,622,071.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,172,540 : 1,954,582,104 = 1,954,582,104 : x
  2. Step 2: Convert to fraction form
    905,172,540/1,954,582,104 = 1,954,582,104/x
  3. Step 3: Cross multiply
    905,172,540x = 1,954,582,104 × 1,954,582,104
  4. Step 4: Simplify right side
    905,172,540x = 3,820,391,201,277,066,752
  5. Step 5: Solve for x
    x = 3,820,391,201,277,066,752/905,172,540
  6. Step 6: Final answer
    x = 4,220,622,071.98

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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.