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Finding the Third Proportional to 1,559,815,703,252 and 3,396,544,716,616

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Solution

The third proportional to 1,559,815,703,252 and 3,396,544,716,616 is: 7,396,076,336,403.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559,815,703,252 : 3,396,544,716,616 = 3,396,544,716,616 : x
  2. Step 2: Convert to fraction form
    1,559,815,703,252/3,396,544,716,616 = 3,396,544,716,616/x
  3. Step 3: Cross multiply
    1,559,815,703,252x = 3,396,544,716,616 × 3,396,544,716,616
  4. Step 4: Simplify right side
    1,559,815,703,252x = 11,536,516,011,972,062,699,585,536
  5. Step 5: Solve for x
    x = 11,536,516,011,972,062,699,585,536/1,559,815,703,252
  6. Step 6: Final answer
    x = 7,396,076,336,403.09

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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.