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Finding the Third Proportional to 1,089,709,232 and 1,691,981,832

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Solution

The third proportional to 1,089,709,232 and 1,691,981,832 is: 2,627,125,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089,709,232 : 1,691,981,832 = 1,691,981,832 : x
  2. Step 2: Convert to fraction form
    1,089,709,232/1,691,981,832 = 1,691,981,832/x
  3. Step 3: Cross multiply
    1,089,709,232x = 1,691,981,832 × 1,691,981,832
  4. Step 4: Simplify right side
    1,089,709,232x = 2,862,802,519,818,076,160
  5. Step 5: Solve for x
    x = 2,862,802,519,818,076,160/1,089,709,232
  6. Step 6: Final answer
    x = 2,627,125,141.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.