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Finding the Third Proportional to 227,360,016 and 500,069,664

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Solution

The third proportional to 227,360,016 and 500,069,664 is: 1,099,884,110.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,360,016 : 500,069,664 = 500,069,664 : x
  2. Step 2: Convert to fraction form
    227,360,016/500,069,664 = 500,069,664/x
  3. Step 3: Cross multiply
    227,360,016x = 500,069,664 × 500,069,664
  4. Step 4: Simplify right side
    227,360,016x = 250,069,668,853,072,896
  5. Step 5: Solve for x
    x = 250,069,668,853,072,896/227,360,016
  6. Step 6: Final answer
    x = 1,099,884,110.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.