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Finding the Third Proportional to 745,178,467,100 and 1,620,920,079,800

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Solution

The third proportional to 745,178,467,100 and 1,620,920,079,800 is: 3,525,842,494,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,178,467,100 : 1,620,920,079,800 = 1,620,920,079,800 : x
  2. Step 2: Convert to fraction form
    745,178,467,100/1,620,920,079,800 = 1,620,920,079,800/x
  3. Step 3: Cross multiply
    745,178,467,100x = 1,620,920,079,800 × 1,620,920,079,800
  4. Step 4: Simplify right side
    745,178,467,100x = 2,627,381,905,098,838,380,642,304
  5. Step 5: Solve for x
    x = 2,627,381,905,098,838,380,642,304/745,178,467,100
  6. Step 6: Final answer
    x = 3,525,842,494,246.76

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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.