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Finding the Third Proportional to 5,034,016,629 and 6,999,397,740

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Solution

The third proportional to 5,034,016,629 and 6,999,397,740 is: 9,732,103,076.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034,016,629 : 6,999,397,740 = 6,999,397,740 : x
  2. Step 2: Convert to fraction form
    5,034,016,629/6,999,397,740 = 6,999,397,740/x
  3. Step 3: Cross multiply
    5,034,016,629x = 6,999,397,740 × 6,999,397,740
  4. Step 4: Simplify right side
    5,034,016,629x = 48,991,568,722,717,106,176
  5. Step 5: Solve for x
    x = 48,991,568,722,717,106,176/5,034,016,629
  6. Step 6: Final answer
    x = 9,732,103,076.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.