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Finding the Third Proportional to 808,212,196 and 1,745,754,824

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Solution

The third proportional to 808,212,196 and 1,745,754,824 is: 3,770,866,018.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,212,196 : 1,745,754,824 = 1,745,754,824 : x
  2. Step 2: Convert to fraction form
    808,212,196/1,745,754,824 = 1,745,754,824/x
  3. Step 3: Cross multiply
    808,212,196x = 1,745,754,824 × 1,745,754,824
  4. Step 4: Simplify right side
    808,212,196x = 3,047,659,905,519,270,912
  5. Step 5: Solve for x
    x = 3,047,659,905,519,270,912/808,212,196
  6. Step 6: Final answer
    x = 3,770,866,018.36

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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.