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Finding the Third Proportional to 1,975,782,825 and 4,295,926,296

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Solution

The third proportional to 1,975,782,825 and 4,295,926,296 is: 9,340,592,755.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975,782,825 : 4,295,926,296 = 4,295,926,296 : x
  2. Step 2: Convert to fraction form
    1,975,782,825/4,295,926,296 = 4,295,926,296/x
  3. Step 3: Cross multiply
    1,975,782,825x = 4,295,926,296 × 4,295,926,296
  4. Step 4: Simplify right side
    1,975,782,825x = 18,454,982,740,664,279,040
  5. Step 5: Solve for x
    x = 18,454,982,740,664,279,040/1,975,782,825
  6. Step 6: Final answer
    x = 9,340,592,755.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.