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Finding the Third Proportional to 511,806,359 and 1,105,166,738

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Solution

The third proportional to 511,806,359 and 1,105,166,738 is: 2,386,436,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,806,359 : 1,105,166,738 = 1,105,166,738 : x
  2. Step 2: Convert to fraction form
    511,806,359/1,105,166,738 = 1,105,166,738/x
  3. Step 3: Cross multiply
    511,806,359x = 1,105,166,738 × 1,105,166,738
  4. Step 4: Simplify right side
    511,806,359x = 1,221,393,518,781,560,576
  5. Step 5: Solve for x
    x = 1,221,393,518,781,560,576/511,806,359
  6. Step 6: Final answer
    x = 2,386,436,778.88

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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.