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Finding the Third Proportional to 324,142,902 and 709,760,916

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Solution

The third proportional to 324,142,902 and 709,760,916 is: 1,554,131,078.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,142,902 : 709,760,916 = 709,760,916 : x
  2. Step 2: Convert to fraction form
    324,142,902/709,760,916 = 709,760,916/x
  3. Step 3: Cross multiply
    324,142,902x = 709,760,916 × 709,760,916
  4. Step 4: Simplify right side
    324,142,902x = 503,760,557,881,159,040
  5. Step 5: Solve for x
    x = 503,760,557,881,159,040/324,142,902
  6. Step 6: Final answer
    x = 1,554,131,078.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.