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Finding the Third Proportional to 1,820,265,034,775 and 3,960,970,041,940

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Solution

The third proportional to 1,820,265,034,775 and 3,960,970,041,940 is: 8,619,230,372,177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820,265,034,775 : 3,960,970,041,940 = 3,960,970,041,940 : x
  2. Step 2: Convert to fraction form
    1,820,265,034,775/3,960,970,041,940 = 3,960,970,041,940/x
  3. Step 3: Cross multiply
    1,820,265,034,775x = 3,960,970,041,940 × 3,960,970,041,940
  4. Step 4: Simplify right side
    1,820,265,034,775x = 15,689,283,673,146,164,900,790,272
  5. Step 5: Solve for x
    x = 15,689,283,673,146,164,900,790,272/1,820,265,034,775
  6. Step 6: Final answer
    x = 8,619,230,372,177.91

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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.