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Finding the Third Proportional to 10,197,292,216.50 and 21,944,266,866

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Solution

The third proportional to 10,197,292,216.50 and 21,944,266,866 is: 47,223,403,827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197,292,216.50 : 21,944,266,866 = 21,944,266,866 : x
  2. Step 2: Convert to fraction form
    10,197,292,216.50/21,944,266,866 = 21,944,266,866/x
  3. Step 3: Cross multiply
    10,197,292,216.50x = 21,944,266,866 × 21,944,266,866
  4. Step 4: Simplify right side
    10,197,292,216.50x = 481,550,848,286,225,465,344
  5. Step 5: Solve for x
    x = 481,550,848,286,225,465,344/10,197,292,216.50
  6. Step 6: Final answer
    x = 47,223,403,827.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.