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Finding the Third Proportional to 3,835,290,937,392 and 8,345,747,577,915

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Solution

The third proportional to 3,835,290,937,392 and 8,345,747,577,915 is: 18,160,682,923,741.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835,290,937,392 : 8,345,747,577,915 = 8,345,747,577,915 : x
  2. Step 2: Convert to fraction form
    3,835,290,937,392/8,345,747,577,915 = 8,345,747,577,915/x
  3. Step 3: Cross multiply
    3,835,290,937,392x = 8,345,747,577,915 × 8,345,747,577,915
  4. Step 4: Simplify right side
    3,835,290,937,392x = 69,651,502,634,274,088,311,324,672
  5. Step 5: Solve for x
    x = 69,651,502,634,274,088,311,324,672/3,835,290,937,392
  6. Step 6: Final answer
    x = 18,160,682,923,741.15

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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.