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Finding the Third Proportional to 1,255,138,394 and 2,736,272,322

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Solution

The third proportional to 1,255,138,394 and 2,736,272,322 is: 5,965,227,624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255,138,394 : 2,736,272,322 = 2,736,272,322 : x
  2. Step 2: Convert to fraction form
    1,255,138,394/2,736,272,322 = 2,736,272,322/x
  3. Step 3: Cross multiply
    1,255,138,394x = 2,736,272,322 × 2,736,272,322
  4. Step 4: Simplify right side
    1,255,138,394x = 7,487,186,220,143,271,936
  5. Step 5: Solve for x
    x = 7,487,186,220,143,271,936/1,255,138,394
  6. Step 6: Final answer
    x = 5,965,227,624.25

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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.