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Finding the Third Proportional to 563,941,786.50 and 862,121,697.75

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Solution

The third proportional to 563,941,786.50 and 862,121,697.75 is: 1,317,961,959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,941,786.50 : 862,121,697.75 = 862,121,697.75 : x
  2. Step 2: Convert to fraction form
    563,941,786.50/862,121,697.75 = 862,121,697.75/x
  3. Step 3: Cross multiply
    563,941,786.50x = 862,121,697.75 × 862,121,697.75
  4. Step 4: Simplify right side
    563,941,786.50x = 743,253,821,731,342,336
  5. Step 5: Solve for x
    x = 743,253,821,731,342,336/563,941,786.50
  6. Step 6: Final answer
    x = 1,317,961,959.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.