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Finding the Third Proportional to 4,198,919,372 and 9,020,971,904

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Solution

The third proportional to 4,198,919,372 and 9,020,971,904 is: 19,380,685,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198,919,372 : 9,020,971,904 = 9,020,971,904 : x
  2. Step 2: Convert to fraction form
    4,198,919,372/9,020,971,904 = 9,020,971,904/x
  3. Step 3: Cross multiply
    4,198,919,372x = 9,020,971,904 × 9,020,971,904
  4. Step 4: Simplify right side
    4,198,919,372x = 81,377,934,092,757,385,216
  5. Step 5: Solve for x
    x = 81,377,934,092,757,385,216/4,198,919,372
  6. Step 6: Final answer
    x = 19,380,685,096.13

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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.