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Finding the Third Proportional to 766,643,080.64 and 1,667,609,939.53

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Solution

The third proportional to 766,643,080.64 and 1,667,609,939.53 is: 3,627,402,347.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,643,080.64 : 1,667,609,939.53 = 1,667,609,939.53 : x
  2. Step 2: Convert to fraction form
    766,643,080.64/1,667,609,939.53 = 1,667,609,939.53/x
  3. Step 3: Cross multiply
    766,643,080.64x = 1,667,609,939.53 × 1,667,609,939.53
  4. Step 4: Simplify right side
    766,643,080.64x = 2,780,922,910,423,252,480
  5. Step 5: Solve for x
    x = 2,780,922,910,423,252,480/766,643,080.64
  6. Step 6: Final answer
    x = 3,627,402,347.52

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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.