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Finding the Third Proportional to 4,198,206,883.50 and 9,719,114,652

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Solution

The third proportional to 4,198,206,883.50 and 9,719,114,652 is: 22,500,365,570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198,206,883.50 : 9,719,114,652 = 9,719,114,652 : x
  2. Step 2: Convert to fraction form
    4,198,206,883.50/9,719,114,652 = 9,719,114,652/x
  3. Step 3: Cross multiply
    4,198,206,883.50x = 9,719,114,652 × 9,719,114,652
  4. Step 4: Simplify right side
    4,198,206,883.50x = 94,461,189,618,721,079,296
  5. Step 5: Solve for x
    x = 94,461,189,618,721,079,296/4,198,206,883.50
  6. Step 6: Final answer
    x = 22,500,365,570.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.