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Finding the Third Proportional to 819,705,516 and 1,770,290,040

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Solution

The third proportional to 819,705,516 and 1,770,290,040 is: 3,823,235,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,705,516 : 1,770,290,040 = 1,770,290,040 : x
  2. Step 2: Convert to fraction form
    819,705,516/1,770,290,040 = 1,770,290,040/x
  3. Step 3: Cross multiply
    819,705,516x = 1,770,290,040 × 1,770,290,040
  4. Step 4: Simplify right side
    819,705,516x = 3,133,926,825,723,201,536
  5. Step 5: Solve for x
    x = 3,133,926,825,723,201,536/819,705,516
  6. Step 6: Final answer
    x = 3,823,235,008.86

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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.