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Finding the Third Proportional to 319,742,770 and 699,757,213

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Solution

The third proportional to 319,742,770 and 699,757,213 is: 1,531,419,012.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,742,770 : 699,757,213 = 699,757,213 : x
  2. Step 2: Convert to fraction form
    319,742,770/699,757,213 = 699,757,213/x
  3. Step 3: Cross multiply
    319,742,770x = 699,757,213 × 699,757,213
  4. Step 4: Simplify right side
    319,742,770x = 489,660,157,145,527,360
  5. Step 5: Solve for x
    x = 489,660,157,145,527,360/319,742,770
  6. Step 6: Final answer
    x = 1,531,419,012.68

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