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Finding the Third Proportional to 535,886,616 and 1,160,820,993

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Solution

The third proportional to 535,886,616 and 1,160,820,993 is: 2,514,534,488.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,886,616 : 1,160,820,993 = 1,160,820,993 : x
  2. Step 2: Convert to fraction form
    535,886,616/1,160,820,993 = 1,160,820,993/x
  3. Step 3: Cross multiply
    535,886,616x = 1,160,820,993 × 1,160,820,993
  4. Step 4: Simplify right side
    535,886,616x = 1,347,505,377,789,506,048
  5. Step 5: Solve for x
    x = 1,347,505,377,789,506,048/535,886,616
  6. Step 6: Final answer
    x = 2,514,534,488.37

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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.