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Finding the Third Proportional to 745,178,467,106 and 1,620,920,079,812

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Solution

The third proportional to 745,178,467,106 and 1,620,920,079,812 is: 3,525,842,494,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,178,467,106 : 1,620,920,079,812 = 1,620,920,079,812 : x
  2. Step 2: Convert to fraction form
    745,178,467,106/1,620,920,079,812 = 1,620,920,079,812/x
  3. Step 3: Cross multiply
    745,178,467,106x = 1,620,920,079,812 × 1,620,920,079,812
  4. Step 4: Simplify right side
    745,178,467,106x = 2,627,381,905,137,740,583,796,736
  5. Step 5: Solve for x
    x = 2,627,381,905,137,740,583,796,736/745,178,467,106
  6. Step 6: Final answer
    x = 3,525,842,494,270.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.