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Finding the Third Proportional to 819,705,514 and 1,770,290,036

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Solution

The third proportional to 819,705,514 and 1,770,290,036 is: 3,823,235,000.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,705,514 : 1,770,290,036 = 1,770,290,036 : x
  2. Step 2: Convert to fraction form
    819,705,514/1,770,290,036 = 1,770,290,036/x
  3. Step 3: Cross multiply
    819,705,514x = 1,770,290,036 × 1,770,290,036
  4. Step 4: Simplify right side
    819,705,514x = 3,133,926,811,560,881,152
  5. Step 5: Solve for x
    x = 3,133,926,811,560,881,152/819,705,514
  6. Step 6: Final answer
    x = 3,823,235,000.91

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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.