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Finding the Third Proportional to 338,903,047.13 and 523,691,627.63

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Solution

The third proportional to 338,903,047.13 and 523,691,627.63 is: 809,237,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,903,047.13 : 523,691,627.63 = 523,691,627.63 : x
  2. Step 2: Convert to fraction form
    338,903,047.13/523,691,627.63 = 523,691,627.63/x
  3. Step 3: Cross multiply
    338,903,047.13x = 523,691,627.63 × 523,691,627.63
  4. Step 4: Simplify right side
    338,903,047.13x = 274,252,920,844,521,664
  5. Step 5: Solve for x
    x = 274,252,920,844,521,664/338,903,047.13
  6. Step 6: Final answer
    x = 809,237,105.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.