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Finding the Third Proportional to 3,270,314,973 and 7,173,769,992

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Solution

The third proportional to 3,270,314,973 and 7,173,769,992 is: 15,736,397,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270,314,973 : 7,173,769,992 = 7,173,769,992 : x
  2. Step 2: Convert to fraction form
    3,270,314,973/7,173,769,992 = 7,173,769,992/x
  3. Step 3: Cross multiply
    3,270,314,973x = 7,173,769,992 × 7,173,769,992
  4. Step 4: Simplify right side
    3,270,314,973x = 51,462,975,898,119,684,096
  5. Step 5: Solve for x
    x = 51,462,975,898,119,684,096/3,270,314,973
  6. Step 6: Final answer
    x = 15,736,397,357.14

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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.