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Finding the Third Proportional to 227,652,684,208 and 506,205,259,399

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Solution

The third proportional to 227,652,684,208 and 506,205,259,399 is: 1,125,590,789,911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,652,684,208 : 506,205,259,399 = 506,205,259,399 : x
  2. Step 2: Convert to fraction form
    227,652,684,208/506,205,259,399 = 506,205,259,399/x
  3. Step 3: Cross multiply
    227,652,684,208x = 506,205,259,399 × 506,205,259,399
  4. Step 4: Simplify right side
    227,652,684,208x = 256,243,764,643,208,894,611,456
  5. Step 5: Solve for x
    x = 256,243,764,643,208,894,611,456/227,652,684,208
  6. Step 6: Final answer
    x = 1,125,590,789,911.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.