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Finding the Third Proportional to 3,433,918,765 and 7,438,310,270

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Solution

The third proportional to 3,433,918,765 and 7,438,310,270 is: 16,112,337,961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433,918,765 : 7,438,310,270 = 7,438,310,270 : x
  2. Step 2: Convert to fraction form
    3,433,918,765/7,438,310,270 = 7,438,310,270/x
  3. Step 3: Cross multiply
    3,433,918,765x = 7,438,310,270 × 7,438,310,270
  4. Step 4: Simplify right side
    3,433,918,765x = 55,328,459,672,787,476,480
  5. Step 5: Solve for x
    x = 55,328,459,672,787,476,480/3,433,918,765
  6. Step 6: Final answer
    x = 16,112,337,961.14

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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.