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Finding the Third Proportional to 454,307,104 and 988,213,476

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Solution

The third proportional to 454,307,104 and 988,213,476 is: 2,149,572,096.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,307,104 : 988,213,476 = 988,213,476 : x
  2. Step 2: Convert to fraction form
    454,307,104/988,213,476 = 988,213,476/x
  3. Step 3: Cross multiply
    454,307,104x = 988,213,476 × 988,213,476
  4. Step 4: Simplify right side
    454,307,104x = 976,565,874,148,002,560
  5. Step 5: Solve for x
    x = 976,565,874,148,002,560/454,307,104
  6. Step 6: Final answer
    x = 2,149,572,096.83

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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.