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Finding the Third Proportional to 1,212,608,777 and 2,631,035,335

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Solution

The third proportional to 1,212,608,777 and 2,631,035,335 is: 5,708,639,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,608,777 : 2,631,035,335 = 2,631,035,335 : x
  2. Step 2: Convert to fraction form
    1,212,608,777/2,631,035,335 = 2,631,035,335/x
  3. Step 3: Cross multiply
    1,212,608,777x = 2,631,035,335 × 2,631,035,335
  4. Step 4: Simplify right side
    1,212,608,777x = 6,922,346,934,018,562,048
  5. Step 5: Solve for x
    x = 6,922,346,934,018,562,048/1,212,608,777
  6. Step 6: Final answer
    x = 5,708,639,971.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.