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Finding the Third Proportional to 925,861,639.50 and 1,410,498,303.75

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Solution

The third proportional to 925,861,639.50 and 1,410,498,303.75 is: 2,148,815,092.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,861,639.50 : 1,410,498,303.75 = 1,410,498,303.75 : x
  2. Step 2: Convert to fraction form
    925,861,639.50/1,410,498,303.75 = 1,410,498,303.75/x
  3. Step 3: Cross multiply
    925,861,639.50x = 1,410,498,303.75 × 1,410,498,303.75
  4. Step 4: Simplify right side
    925,861,639.50x = 1,989,505,464,881,627,392
  5. Step 5: Solve for x
    x = 1,989,505,464,881,627,392/925,861,639.50
  6. Step 6: Final answer
    x = 2,148,815,092.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.