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Finding the Third Proportional to 227,350,478 and 492,934,846

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Solution

The third proportional to 227,350,478 and 492,934,846 is: 1,068,767,325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,350,478 : 492,934,846 = 492,934,846 : x
  2. Step 2: Convert to fraction form
    227,350,478/492,934,846 = 492,934,846/x
  3. Step 3: Cross multiply
    227,350,478x = 492,934,846 × 492,934,846
  4. Step 4: Simplify right side
    227,350,478x = 242,984,762,401,043,712
  5. Step 5: Solve for x
    x = 242,984,762,401,043,712/227,350,478
  6. Step 6: Final answer
    x = 1,068,767,325.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.