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Finding the Third Proportional to 304,063,005 and 663,860,890.50

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Solution

The third proportional to 304,063,005 and 663,860,890.50 is: 1,449,407,769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,063,005 : 663,860,890.50 = 663,860,890.50 : x
  2. Step 2: Convert to fraction form
    304,063,005/663,860,890.50 = 663,860,890.50/x
  3. Step 3: Cross multiply
    304,063,005x = 663,860,890.50 × 663,860,890.50
  4. Step 4: Simplify right side
    304,063,005x = 440,711,281,935,452,992
  5. Step 5: Solve for x
    x = 440,711,281,935,452,992/304,063,005
  6. Step 6: Final answer
    x = 1,449,407,769.73

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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.