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Finding the Third Proportional to 9,433,164,174 and 20,191,463,724

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Solution

The third proportional to 9,433,164,174 and 20,191,463,724 is: 43,219,348,226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433,164,174 : 20,191,463,724 = 20,191,463,724 : x
  2. Step 2: Convert to fraction form
    9,433,164,174/20,191,463,724 = 20,191,463,724/x
  3. Step 3: Cross multiply
    9,433,164,174x = 20,191,463,724 × 20,191,463,724
  4. Step 4: Simplify right side
    9,433,164,174x = 407,695,207,317,607,940,096
  5. Step 5: Solve for x
    x = 407,695,207,317,607,940,096/9,433,164,174
  6. Step 6: Final answer
    x = 43,219,348,226.90

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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.