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Finding the Third Proportional to 745,178,467,104 and 1,620,920,079,808

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Solution

The third proportional to 745,178,467,104 and 1,620,920,079,808 is: 3,525,842,494,262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,178,467,104 : 1,620,920,079,808 = 1,620,920,079,808 : x
  2. Step 2: Convert to fraction form
    745,178,467,104/1,620,920,079,808 = 1,620,920,079,808/x
  3. Step 3: Cross multiply
    745,178,467,104x = 1,620,920,079,808 × 1,620,920,079,808
  4. Step 4: Simplify right side
    745,178,467,104x = 2,627,381,905,124,773,003,788,288
  5. Step 5: Solve for x
    x = 2,627,381,905,124,773,003,788,288/745,178,467,104
  6. Step 6: Final answer
    x = 3,525,842,494,262.63

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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.