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Finding the Third Proportional to 762,473,367 and 1,664,775,738

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Solution

The third proportional to 762,473,367 and 1,664,775,738 is: 3,634,852,544.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,473,367 : 1,664,775,738 = 1,664,775,738 : x
  2. Step 2: Convert to fraction form
    762,473,367/1,664,775,738 = 1,664,775,738/x
  3. Step 3: Cross multiply
    762,473,367x = 1,664,775,738 × 1,664,775,738
  4. Step 4: Simplify right side
    762,473,367x = 2,771,478,257,833,444,864
  5. Step 5: Solve for x
    x = 2,771,478,257,833,444,864/762,473,367
  6. Step 6: Final answer
    x = 3,634,852,544.08

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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.