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Finding the Third Proportional to 3,433,918,760 and 7,438,310,260

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Solution

The third proportional to 3,433,918,760 and 7,438,310,260 is: 16,112,337,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433,918,760 : 7,438,310,260 = 7,438,310,260 : x
  2. Step 2: Convert to fraction form
    3,433,918,760/7,438,310,260 = 7,438,310,260/x
  3. Step 3: Cross multiply
    3,433,918,760x = 7,438,310,260 × 7,438,310,260
  4. Step 4: Simplify right side
    3,433,918,760x = 55,328,459,524,021,264,384
  5. Step 5: Solve for x
    x = 55,328,459,524,021,264,384/3,433,918,760
  6. Step 6: Final answer
    x = 16,112,337,941.28

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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.