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Finding the Third Proportional to 9,433,165,250 and 20,191,465,924

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Solution

The third proportional to 9,433,165,250 and 20,191,465,924 is: 43,219,352,715.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433,165,250 : 20,191,465,924 = 20,191,465,924 : x
  2. Step 2: Convert to fraction form
    9,433,165,250/20,191,465,924 = 20,191,465,924/x
  3. Step 3: Cross multiply
    9,433,165,250x = 20,191,465,924 × 20,191,465,924
  4. Step 4: Simplify right side
    9,433,165,250x = 407,695,296,160,053,198,848
  5. Step 5: Solve for x
    x = 407,695,296,160,053,198,848/9,433,165,250
  6. Step 6: Final answer
    x = 43,219,352,715.15

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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.