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Finding the Third Proportional to 9,433,164,162 and 20,191,463,700

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Solution

The third proportional to 9,433,164,162 and 20,191,463,700 is: 43,219,348,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433,164,162 : 20,191,463,700 = 20,191,463,700 : x
  2. Step 2: Convert to fraction form
    9,433,164,162/20,191,463,700 = 20,191,463,700/x
  3. Step 3: Cross multiply
    9,433,164,162x = 20,191,463,700 × 20,191,463,700
  4. Step 4: Simplify right side
    9,433,164,162x = 407,695,206,348,417,662,976
  5. Step 5: Solve for x
    x = 407,695,206,348,417,662,976/9,433,164,162
  6. Step 6: Final answer
    x = 43,219,348,179.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.