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Finding the Third Proportional to 9,433,164,020 and 20,191,463,414

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Solution

The third proportional to 9,433,164,020 and 20,191,463,414 is: 43,219,347,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433,164,020 : 20,191,463,414 = 20,191,463,414 : x
  2. Step 2: Convert to fraction form
    9,433,164,020/20,191,463,414 = 20,191,463,414/x
  3. Step 3: Cross multiply
    9,433,164,020x = 20,191,463,414 × 20,191,463,414
  4. Step 4: Simplify right side
    9,433,164,020x = 407,695,194,798,900,510,720
  5. Step 5: Solve for x
    x = 407,695,194,798,900,510,720/9,433,164,020
  6. Step 6: Final answer
    x = 43,219,347,605.38

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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.