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Finding the Third Proportional to 1,497,203,856 and 3,338,662,896

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Solution

The third proportional to 1,497,203,856 and 3,338,662,896 is: 7,444,991,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,203,856 : 3,338,662,896 = 3,338,662,896 : x
  2. Step 2: Convert to fraction form
    1,497,203,856/3,338,662,896 = 3,338,662,896/x
  3. Step 3: Cross multiply
    1,497,203,856x = 3,338,662,896 × 3,338,662,896
  4. Step 4: Simplify right side
    1,497,203,856x = 11,146,669,933,127,106,560
  5. Step 5: Solve for x
    x = 11,146,669,933,127,106,560/1,497,203,856
  6. Step 6: Final answer
    x = 7,444,991,467.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.