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Finding the Third Proportional to 443,825,954 and 964,902,187.50

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Solution

The third proportional to 443,825,954 and 964,902,187.50 is: 2,097,750,758.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,825,954 : 964,902,187.50 = 964,902,187.50 : x
  2. Step 2: Convert to fraction form
    443,825,954/964,902,187.50 = 964,902,187.50/x
  3. Step 3: Cross multiply
    443,825,954x = 964,902,187.50 × 964,902,187.50
  4. Step 4: Simplify right side
    443,825,954x = 931,036,231,442,285,184
  5. Step 5: Solve for x
    x = 931,036,231,442,285,184/443,825,954
  6. Step 6: Final answer
    x = 2,097,750,758.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.