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Finding the Third Proportional to 5,969,425,072.50 and 12,777,412,405.50

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Solution

The third proportional to 5,969,425,072.50 and 12,777,412,405.50 is: 27,349,747,387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969,425,072.50 : 12,777,412,405.50 = 12,777,412,405.50 : x
  2. Step 2: Convert to fraction form
    5,969,425,072.50/12,777,412,405.50 = 12,777,412,405.50/x
  3. Step 3: Cross multiply
    5,969,425,072.50x = 12,777,412,405.50 × 12,777,412,405.50
  4. Step 4: Simplify right side
    5,969,425,072.50x = 163,262,267,780,225,302,528
  5. Step 5: Solve for x
    x = 163,262,267,780,225,302,528/5,969,425,072.50
  6. Step 6: Final answer
    x = 27,349,747,387.29

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