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Finding the Third Proportional to 766,643,250.50 and 1,667,610,256.50

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Solution

The third proportional to 766,643,250.50 and 1,667,610,256.50 is: 3,627,402,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,643,250.50 : 1,667,610,256.50 = 1,667,610,256.50 : x
  2. Step 2: Convert to fraction form
    766,643,250.50/1,667,610,256.50 = 1,667,610,256.50/x
  3. Step 3: Cross multiply
    766,643,250.50x = 1,667,610,256.50 × 1,667,610,256.50
  4. Step 4: Simplify right side
    766,643,250.50x = 2,780,923,967,583,995,904
  5. Step 5: Solve for x
    x = 2,780,923,967,583,995,904/766,643,250.50
  6. Step 6: Final answer
    x = 3,627,402,922.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.