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Finding the Third Proportional to 511,265,833 and 1,104,253,009

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Solution

The third proportional to 511,265,833 and 1,104,253,009 is: 2,385,011,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,265,833 : 1,104,253,009 = 1,104,253,009 : x
  2. Step 2: Convert to fraction form
    511,265,833/1,104,253,009 = 1,104,253,009/x
  3. Step 3: Cross multiply
    511,265,833x = 1,104,253,009 × 1,104,253,009
  4. Step 4: Simplify right side
    511,265,833x = 1,219,374,707,885,554,176
  5. Step 5: Solve for x
    x = 1,219,374,707,885,554,176/511,265,833
  6. Step 6: Final answer
    x = 2,385,011,141.33

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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.