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Finding the Third Proportional to 34,259,523,409 and 52,373,976,396

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Solution

The third proportional to 34,259,523,409 and 52,373,976,396 is: 80,066,303,631.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,259,523,409 : 52,373,976,396 = 52,373,976,396 : x
  2. Step 2: Convert to fraction form
    34,259,523,409/52,373,976,396 = 52,373,976,396/x
  3. Step 3: Cross multiply
    34,259,523,409x = 52,373,976,396 × 52,373,976,396
  4. Step 4: Simplify right side
    34,259,523,409x = 2,743,033,403,528,765,243,392
  5. Step 5: Solve for x
    x = 2,743,033,403,528,765,243,392/34,259,523,409
  6. Step 6: Final answer
    x = 80,066,303,631.30

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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.