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Finding the Third Proportional to 887,407,629.75 and 1,384,833,459.38

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Solution

The third proportional to 887,407,629.75 and 1,384,833,459.38 is: 2,161,085,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    887,407,629.75 : 1,384,833,459.38 = 1,384,833,459.38 : x
  2. Step 2: Convert to fraction form
    887,407,629.75/1,384,833,459.38 = 1,384,833,459.38/x
  3. Step 3: Cross multiply
    887,407,629.75x = 1,384,833,459.38 × 1,384,833,459.38
  4. Step 4: Simplify right side
    887,407,629.75x = 1,917,763,710,204,529,664
  5. Step 5: Solve for x
    x = 1,917,763,710,204,529,664/887,407,629.75
  6. Step 6: Final answer
    x = 2,161,085,442.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.