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Finding the Third Proportional to 511,265,828.50 and 1,104,253,001

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Solution

The third proportional to 511,265,828.50 and 1,104,253,001 is: 2,385,011,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,265,828.50 : 1,104,253,001 = 1,104,253,001 : x
  2. Step 2: Convert to fraction form
    511,265,828.50/1,104,253,001 = 1,104,253,001/x
  3. Step 3: Cross multiply
    511,265,828.50x = 1,104,253,001 × 1,104,253,001
  4. Step 4: Simplify right side
    511,265,828.50x = 1,219,374,690,217,506,048
  5. Step 5: Solve for x
    x = 1,219,374,690,217,506,048/511,265,828.50
  6. Step 6: Final answer
    x = 2,385,011,127.76

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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.