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Finding the Third Proportional to 1,814,900,726 and 3,905,611,978

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Solution

The third proportional to 1,814,900,726 and 3,905,611,978 is: 8,404,759,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814,900,726 : 3,905,611,978 = 3,905,611,978 : x
  2. Step 2: Convert to fraction form
    1,814,900,726/3,905,611,978 = 3,905,611,978/x
  3. Step 3: Cross multiply
    1,814,900,726x = 3,905,611,978 × 3,905,611,978
  4. Step 4: Simplify right side
    1,814,900,726x = 15,253,804,922,697,072,640
  5. Step 5: Solve for x
    x = 15,253,804,922,697,072,640/1,814,900,726
  6. Step 6: Final answer
    x = 8,404,759,943.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.