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Finding the Third Proportional to 1,861,839,699.75 and 4,050,562,876.88

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Solution

The third proportional to 1,861,839,699.75 and 4,050,562,876.88 is: 8,812,283,690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861,839,699.75 : 4,050,562,876.88 = 4,050,562,876.88 : x
  2. Step 2: Convert to fraction form
    1,861,839,699.75/4,050,562,876.88 = 4,050,562,876.88/x
  3. Step 3: Cross multiply
    1,861,839,699.75x = 4,050,562,876.88 × 4,050,562,876.88
  4. Step 4: Simplify right side
    1,861,839,699.75x = 16,407,059,619,517,876,224
  5. Step 5: Solve for x
    x = 16,407,059,619,517,876,224/1,861,839,699.75
  6. Step 6: Final answer
    x = 8,812,283,690.01

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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.