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Finding the Third Proportional to 1,789,803,214 and 3,630,640,448

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Solution

The third proportional to 1,789,803,214 and 3,630,640,448 is: 7,364,804,107.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789,803,214 : 3,630,640,448 = 3,630,640,448 : x
  2. Step 2: Convert to fraction form
    1,789,803,214/3,630,640,448 = 3,630,640,448/x
  3. Step 3: Cross multiply
    1,789,803,214x = 3,630,640,448 × 3,630,640,448
  4. Step 4: Simplify right side
    1,789,803,214x = 13,181,550,062,653,640,704
  5. Step 5: Solve for x
    x = 13,181,550,062,653,640,704/1,789,803,214
  6. Step 6: Final answer
    x = 7,364,804,107.82

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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.