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Finding the Third Proportional to 3,433,918,767 and 7,438,310,274

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Solution

The third proportional to 3,433,918,767 and 7,438,310,274 is: 16,112,337,969.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433,918,767 : 7,438,310,274 = 7,438,310,274 : x
  2. Step 2: Convert to fraction form
    3,433,918,767/7,438,310,274 = 7,438,310,274/x
  3. Step 3: Cross multiply
    3,433,918,767x = 7,438,310,274 × 7,438,310,274
  4. Step 4: Simplify right side
    3,433,918,767x = 55,328,459,732,293,951,488
  5. Step 5: Solve for x
    x = 55,328,459,732,293,951,488/3,433,918,767
  6. Step 6: Final answer
    x = 16,112,337,969.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.