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Finding the Third Proportional to 1,861,839,702 and 4,050,562,881

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Solution

The third proportional to 1,861,839,702 and 4,050,562,881 is: 8,812,283,697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861,839,702 : 4,050,562,881 = 4,050,562,881 : x
  2. Step 2: Convert to fraction form
    1,861,839,702/4,050,562,881 = 4,050,562,881/x
  3. Step 3: Cross multiply
    1,861,839,702x = 4,050,562,881 × 4,050,562,881
  4. Step 4: Simplify right side
    1,861,839,702x = 16,407,059,652,935,020,544
  5. Step 5: Solve for x
    x = 16,407,059,652,935,020,544/1,861,839,702
  6. Step 6: Final answer
    x = 8,812,283,697.31

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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.