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Finding the Third Proportional to 1,655,578,198 and 3,605,089,196

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Solution

The third proportional to 1,655,578,198 and 3,605,089,196 is: 7,850,229,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655,578,198 : 3,605,089,196 = 3,605,089,196 : x
  2. Step 2: Convert to fraction form
    1,655,578,198/3,605,089,196 = 3,605,089,196/x
  3. Step 3: Cross multiply
    1,655,578,198x = 3,605,089,196 × 3,605,089,196
  4. Step 4: Simplify right side
    1,655,578,198x = 12,996,668,111,115,925,504
  5. Step 5: Solve for x
    x = 12,996,668,111,115,925,504/1,655,578,198
  6. Step 6: Final answer
    x = 7,850,229,078.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.