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Finding the Third Proportional to 6,242,821,406 and 9,019,798,870

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Solution

The third proportional to 6,242,821,406 and 9,019,798,870 is: 13,032,051,754.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242,821,406 : 9,019,798,870 = 9,019,798,870 : x
  2. Step 2: Convert to fraction form
    6,242,821,406/9,019,798,870 = 9,019,798,870/x
  3. Step 3: Cross multiply
    6,242,821,406x = 9,019,798,870 × 9,019,798,870
  4. Step 4: Simplify right side
    6,242,821,406x = 81,356,771,655,253,278,720
  5. Step 5: Solve for x
    x = 81,356,771,655,253,278,720/6,242,821,406
  6. Step 6: Final answer
    x = 13,032,051,754.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.