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Finding the Third Proportional to 2,689,274,112.05 and 5,756,327,316.84

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Solution

The third proportional to 2,689,274,112.05 and 5,756,327,316.84 is: 12,321,281,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689,274,112.05 : 5,756,327,316.84 = 5,756,327,316.84 : x
  2. Step 2: Convert to fraction form
    2,689,274,112.05/5,756,327,316.84 = 5,756,327,316.84/x
  3. Step 3: Cross multiply
    2,689,274,112.05x = 5,756,327,316.84 × 5,756,327,316.84
  4. Step 4: Simplify right side
    2,689,274,112.05x = 33,135,304,178,644,443,136
  5. Step 5: Solve for x
    x = 33,135,304,178,644,443,136/2,689,274,112.05
  6. Step 6: Final answer
    x = 12,321,281,802.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.