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Finding the Third Proportional to 256,554,002 and 560,151,468

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Solution

The third proportional to 256,554,002 and 560,151,468 is: 1,223,016,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,554,002 : 560,151,468 = 560,151,468 : x
  2. Step 2: Convert to fraction form
    256,554,002/560,151,468 = 560,151,468/x
  3. Step 3: Cross multiply
    256,554,002x = 560,151,468 × 560,151,468
  4. Step 4: Simplify right side
    256,554,002x = 313,769,667,102,555,008
  5. Step 5: Solve for x
    x = 313,769,667,102,555,008/256,554,002
  6. Step 6: Final answer
    x = 1,223,016,069.35

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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.