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Finding the Third Proportional to 1,820,265,034,773 and 3,960,970,041,936

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Solution

The third proportional to 1,820,265,034,773 and 3,960,970,041,936 is: 8,619,230,372,169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820,265,034,773 : 3,960,970,041,936 = 3,960,970,041,936 : x
  2. Step 2: Convert to fraction form
    1,820,265,034,773/3,960,970,041,936 = 3,960,970,041,936/x
  3. Step 3: Cross multiply
    1,820,265,034,773x = 3,960,970,041,936 × 3,960,970,041,936
  4. Step 4: Simplify right side
    1,820,265,034,773x = 15,689,283,673,114,476,632,080,384
  5. Step 5: Solve for x
    x = 15,689,283,673,114,476,632,080,384/1,820,265,034,773
  6. Step 6: Final answer
    x = 8,619,230,372,169.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.