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Finding the Third Proportional to 304,063,004.25 and 663,860,885.63

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Solution

The third proportional to 304,063,004.25 and 663,860,885.63 is: 1,449,407,752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,063,004.25 : 663,860,885.63 = 663,860,885.63 : x
  2. Step 2: Convert to fraction form
    304,063,004.25/663,860,885.63 = 663,860,885.63/x
  3. Step 3: Cross multiply
    304,063,004.25x = 663,860,885.63 × 663,860,885.63
  4. Step 4: Simplify right side
    304,063,004.25x = 440,711,275,462,809,344
  5. Step 5: Solve for x
    x = 440,711,275,462,809,344/304,063,004.25
  6. Step 6: Final answer
    x = 1,449,407,752.02

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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.