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Finding the Third Proportional to 1,255,138,344 and 2,736,272,216.25

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Solution

The third proportional to 1,255,138,344 and 2,736,272,216.25 is: 5,965,227,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255,138,344 : 2,736,272,216.25 = 2,736,272,216.25 : x
  2. Step 2: Convert to fraction form
    1,255,138,344/2,736,272,216.25 = 2,736,272,216.25/x
  3. Step 3: Cross multiply
    1,255,138,344x = 2,736,272,216.25 × 2,736,272,216.25
  4. Step 4: Simplify right side
    1,255,138,344x = 7,487,185,641,421,686,784
  5. Step 5: Solve for x
    x = 7,487,185,641,421,686,784/1,255,138,344
  6. Step 6: Final answer
    x = 5,965,227,400.80

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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.