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Finding the Third Proportional to 395,385,966 and 823,497,480

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Solution

The third proportional to 395,385,966 and 823,497,480 is: 1,715,154,704.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,385,966 : 823,497,480 = 823,497,480 : x
  2. Step 2: Convert to fraction form
    395,385,966/823,497,480 = 823,497,480/x
  3. Step 3: Cross multiply
    395,385,966x = 823,497,480 × 823,497,480
  4. Step 4: Simplify right side
    395,385,966x = 678,148,099,566,350,336
  5. Step 5: Solve for x
    x = 678,148,099,566,350,336/395,385,966
  6. Step 6: Final answer
    x = 1,715,154,704.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.