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Finding the Third Proportional to 5,742,827,968 and 12,465,770,944

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Solution

The third proportional to 5,742,827,968 and 12,465,770,944 is: 27,059,045,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742,827,968 : 12,465,770,944 = 12,465,770,944 : x
  2. Step 2: Convert to fraction form
    5,742,827,968/12,465,770,944 = 12,465,770,944/x
  3. Step 3: Cross multiply
    5,742,827,968x = 12,465,770,944 × 12,465,770,944
  4. Step 4: Simplify right side
    5,742,827,968x = 155,395,445,228,274,647,040
  5. Step 5: Solve for x
    x = 155,395,445,228,274,647,040/5,742,827,968
  6. Step 6: Final answer
    x = 27,059,045,838.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.