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Finding the Third Proportional to 530,763,171.75 and 830,796,063.75

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Solution

The third proportional to 530,763,171.75 and 830,796,063.75 is: 1,300,433,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,763,171.75 : 830,796,063.75 = 830,796,063.75 : x
  2. Step 2: Convert to fraction form
    530,763,171.75/830,796,063.75 = 830,796,063.75/x
  3. Step 3: Cross multiply
    530,763,171.75x = 830,796,063.75 × 830,796,063.75
  4. Step 4: Simplify right side
    530,763,171.75x = 690,222,099,542,494,080
  5. Step 5: Solve for x
    x = 690,222,099,542,494,080/530,763,171.75
  6. Step 6: Final answer
    x = 1,300,433,293.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.