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Finding the Third Proportional to 511,265,825.25 and 1,104,252,996

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Solution

The third proportional to 511,265,825.25 and 1,104,252,996 is: 2,385,011,121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,265,825.25 : 1,104,252,996 = 1,104,252,996 : x
  2. Step 2: Convert to fraction form
    511,265,825.25/1,104,252,996 = 1,104,252,996/x
  3. Step 3: Cross multiply
    511,265,825.25x = 1,104,252,996 × 1,104,252,996
  4. Step 4: Simplify right side
    511,265,825.25x = 1,219,374,679,174,976,000
  5. Step 5: Solve for x
    x = 1,219,374,679,174,976,000/511,265,825.25
  6. Step 6: Final answer
    x = 2,385,011,121.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.