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Finding the Third Proportional to 304,063,184 and 663,861,248

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Solution

The third proportional to 304,063,184 and 663,861,248 is: 1,449,408,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,063,184 : 663,861,248 = 663,861,248 : x
  2. Step 2: Convert to fraction form
    304,063,184/663,861,248 = 663,861,248/x
  3. Step 3: Cross multiply
    304,063,184x = 663,861,248 × 663,861,248
  4. Step 4: Simplify right side
    304,063,184x = 440,711,756,596,117,504
  5. Step 5: Solve for x
    x = 440,711,756,596,117,504/304,063,184
  6. Step 6: Final answer
    x = 1,449,408,477.54

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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.