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Finding the Third Proportional to 766,351,822 and 1,677,786,946

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Solution

The third proportional to 766,351,822 and 1,677,786,946 is: 3,673,207,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,351,822 : 1,677,786,946 = 1,677,786,946 : x
  2. Step 2: Convert to fraction form
    766,351,822/1,677,786,946 = 1,677,786,946/x
  3. Step 3: Cross multiply
    766,351,822x = 1,677,786,946 × 1,677,786,946
  4. Step 4: Simplify right side
    766,351,822x = 2,814,969,036,168,007,168
  5. Step 5: Solve for x
    x = 2,814,969,036,168,007,168/766,351,822
  6. Step 6: Final answer
    x = 3,673,207,207.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.