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Finding the Third Proportional to 689,089,268.25 and 1,059,180,033.38

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Solution

The third proportional to 689,089,268.25 and 1,059,180,033.38 is: 1,628,036,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,089,268.25 : 1,059,180,033.38 = 1,059,180,033.38 : x
  2. Step 2: Convert to fraction form
    689,089,268.25/1,059,180,033.38 = 1,059,180,033.38/x
  3. Step 3: Cross multiply
    689,089,268.25x = 1,059,180,033.38 × 1,059,180,033.38
  4. Step 4: Simplify right side
    689,089,268.25x = 1,121,862,343,100,266,112
  5. Step 5: Solve for x
    x = 1,121,862,343,100,266,112/689,089,268.25
  6. Step 6: Final answer
    x = 1,628,036,300.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.