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Finding the Third Proportional to 3,965,302,984 and 5,999,037,168

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Solution

The third proportional to 3,965,302,984 and 5,999,037,168 is: 9,075,837,858.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965,302,984 : 5,999,037,168 = 5,999,037,168 : x
  2. Step 2: Convert to fraction form
    3,965,302,984/5,999,037,168 = 5,999,037,168/x
  3. Step 3: Cross multiply
    3,965,302,984x = 5,999,037,168 × 5,999,037,168
  4. Step 4: Simplify right side
    3,965,302,984x = 35,988,446,943,045,459,968
  5. Step 5: Solve for x
    x = 35,988,446,943,045,459,968/3,965,302,984
  6. Step 6: Final answer
    x = 9,075,837,858.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.