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Finding the Third Proportional to 719,011,299 and 1,549,093,902

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Solution

The third proportional to 719,011,299 and 1,549,093,902 is: 3,337,488,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,011,299 : 1,549,093,902 = 1,549,093,902 : x
  2. Step 2: Convert to fraction form
    719,011,299/1,549,093,902 = 1,549,093,902/x
  3. Step 3: Cross multiply
    719,011,299x = 1,549,093,902 × 1,549,093,902
  4. Step 4: Simplify right side
    719,011,299x = 2,399,691,917,213,585,408
  5. Step 5: Solve for x
    x = 2,399,691,917,213,585,408/719,011,299
  6. Step 6: Final answer
    x = 3,337,488,465.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.