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Finding the Third Proportional to 1,789,803,214.50 and 3,630,640,450.50

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Solution

The third proportional to 1,789,803,214.50 and 3,630,640,450.50 is: 7,364,804,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789,803,214.50 : 3,630,640,450.50 = 3,630,640,450.50 : x
  2. Step 2: Convert to fraction form
    1,789,803,214.50/3,630,640,450.50 = 3,630,640,450.50/x
  3. Step 3: Cross multiply
    1,789,803,214.50x = 3,630,640,450.50 × 3,630,640,450.50
  4. Step 4: Simplify right side
    1,789,803,214.50x = 13,181,550,080,806,842,368
  5. Step 5: Solve for x
    x = 13,181,550,080,806,842,368/1,789,803,214.50
  6. Step 6: Final answer
    x = 7,364,804,115.90

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Why These Related Problems?

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