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Finding the Third Proportional to 3,835,290,937,404 and 8,345,747,577,940

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Solution

The third proportional to 3,835,290,937,404 and 8,345,747,577,940 is: 18,160,682,923,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835,290,937,404 : 8,345,747,577,940 = 8,345,747,577,940 : x
  2. Step 2: Convert to fraction form
    3,835,290,937,404/8,345,747,577,940 = 8,345,747,577,940/x
  3. Step 3: Cross multiply
    3,835,290,937,404x = 8,345,747,577,940 × 8,345,747,577,940
  4. Step 4: Simplify right side
    3,835,290,937,404x = 69,651,502,634,691,378,743,869,440
  5. Step 5: Solve for x
    x = 69,651,502,634,691,378,743,869,440/3,835,290,937,404
  6. Step 6: Final answer
    x = 18,160,682,923,793.13

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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.