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Finding the Third Proportional to 5,969,424,213 and 12,777,410,657

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Solution

The third proportional to 5,969,424,213 and 12,777,410,657 is: 27,349,743,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969,424,213 : 12,777,410,657 = 12,777,410,657 : x
  2. Step 2: Convert to fraction form
    5,969,424,213/12,777,410,657 = 12,777,410,657/x
  3. Step 3: Cross multiply
    5,969,424,213x = 12,777,410,657 × 12,777,410,657
  4. Step 4: Simplify right side
    5,969,424,213x = 163,262,223,097,617,186,816
  5. Step 5: Solve for x
    x = 163,262,223,097,617,186,816/5,969,424,213
  6. Step 6: Final answer
    x = 27,349,743,839.96

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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.