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Finding the Third Proportional to 719,011,296 and 1,549,093,896

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Solution

The third proportional to 719,011,296 and 1,549,093,896 is: 3,337,488,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,011,296 : 1,549,093,896 = 1,549,093,896 : x
  2. Step 2: Convert to fraction form
    719,011,296/1,549,093,896 = 1,549,093,896/x
  3. Step 3: Cross multiply
    719,011,296x = 1,549,093,896 × 1,549,093,896
  4. Step 4: Simplify right side
    719,011,296x = 2,399,691,898,624,458,752
  5. Step 5: Solve for x
    x = 2,399,691,898,624,458,752/719,011,296
  6. Step 6: Final answer
    x = 3,337,488,453.90

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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.