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Finding the Third Proportional to 669,158,352 and 1,449,486,288

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Solution

The third proportional to 669,158,352 and 1,449,486,288 is: 3,139,780,730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,158,352 : 1,449,486,288 = 1,449,486,288 : x
  2. Step 2: Convert to fraction form
    669,158,352/1,449,486,288 = 1,449,486,288/x
  3. Step 3: Cross multiply
    669,158,352x = 1,449,486,288 × 1,449,486,288
  4. Step 4: Simplify right side
    669,158,352x = 2,101,010,499,100,018,944
  5. Step 5: Solve for x
    x = 2,101,010,499,100,018,944/669,158,352
  6. Step 6: Final answer
    x = 3,139,780,730.26

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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.