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Finding the Third Proportional to 1,789,803,214 and 3,630,640,449.50

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Solution

The third proportional to 1,789,803,214 and 3,630,640,449.50 is: 7,364,804,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789,803,214 : 3,630,640,449.50 = 3,630,640,449.50 : x
  2. Step 2: Convert to fraction form
    1,789,803,214/3,630,640,449.50 = 3,630,640,449.50/x
  3. Step 3: Cross multiply
    1,789,803,214x = 3,630,640,449.50 × 3,630,640,449.50
  4. Step 4: Simplify right side
    1,789,803,214x = 13,181,550,073,545,562,112
  5. Step 5: Solve for x
    x = 13,181,550,073,545,562,112/1,789,803,214
  6. Step 6: Final answer
    x = 7,364,804,113.90

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.