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Finding the Third Proportional to 227,386,343 and 500,111,932

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Solution

The third proportional to 227,386,343 and 500,111,932 is: 1,099,942,684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,386,343 : 500,111,932 = 500,111,932 : x
  2. Step 2: Convert to fraction form
    227,386,343/500,111,932 = 500,111,932/x
  3. Step 3: Cross multiply
    227,386,343x = 500,111,932 × 500,111,932
  4. Step 4: Simplify right side
    227,386,343x = 250,111,944,528,772,608
  5. Step 5: Solve for x
    x = 250,111,944,528,772,608/227,386,343
  6. Step 6: Final answer
    x = 1,099,942,684.46

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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.