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Finding the Third Proportional to 34,259,523,435 and 52,373,976,426

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Solution

The third proportional to 34,259,523,435 and 52,373,976,426 is: 80,066,303,662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,259,523,435 : 52,373,976,426 = 52,373,976,426 : x
  2. Step 2: Convert to fraction form
    34,259,523,435/52,373,976,426 = 52,373,976,426/x
  3. Step 3: Cross multiply
    34,259,523,435x = 52,373,976,426 × 52,373,976,426
  4. Step 4: Simplify right side
    34,259,523,435x = 2,743,033,406,671,203,860,480
  5. Step 5: Solve for x
    x = 2,743,033,406,671,203,860,480/34,259,523,435
  6. Step 6: Final answer
    x = 80,066,303,662.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.