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Finding the Third Proportional to 1,089,709,254 and 1,691,981,865

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Solution

The third proportional to 1,089,709,254 and 1,691,981,865 is: 2,627,125,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089,709,254 : 1,691,981,865 = 1,691,981,865 : x
  2. Step 2: Convert to fraction form
    1,089,709,254/1,691,981,865 = 1,691,981,865/x
  3. Step 3: Cross multiply
    1,089,709,254x = 1,691,981,865 × 1,691,981,865
  4. Step 4: Simplify right side
    1,089,709,254x = 2,862,802,631,488,878,080
  5. Step 5: Solve for x
    x = 2,862,802,631,488,878,080/1,089,709,254
  6. Step 6: Final answer
    x = 2,627,125,190.49

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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.