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Finding the Third Proportional to 324,142,931 and 709,760,970

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Solution

The third proportional to 324,142,931 and 709,760,970 is: 1,554,131,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,142,931 : 709,760,970 = 709,760,970 : x
  2. Step 2: Convert to fraction form
    324,142,931/709,760,970 = 709,760,970/x
  3. Step 3: Cross multiply
    324,142,931x = 709,760,970 × 709,760,970
  4. Step 4: Simplify right side
    324,142,931x = 503,760,634,535,340,928
  5. Step 5: Solve for x
    x = 503,760,634,535,340,928/324,142,931
  6. Step 6: Final answer
    x = 1,554,131,175.96

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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.