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Finding the Third Proportional to 766,643,037 and 1,667,609,867.25

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Solution

The third proportional to 766,643,037 and 1,667,609,867.25 is: 3,627,402,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,643,037 : 1,667,609,867.25 = 1,667,609,867.25 : x
  2. Step 2: Convert to fraction form
    766,643,037/1,667,609,867.25 = 1,667,609,867.25/x
  3. Step 3: Cross multiply
    766,643,037x = 1,667,609,867.25 × 1,667,609,867.25
  4. Step 4: Simplify right side
    766,643,037x = 2,780,922,669,349,562,368
  5. Step 5: Solve for x
    x = 2,780,922,669,349,562,368/766,643,037
  6. Step 6: Final answer
    x = 3,627,402,239.55

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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.