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Finding the Third Proportional to 30,667,492,441.50 and 47,109,023,265

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Solution

The third proportional to 30,667,492,441.50 and 47,109,023,265 is: 72,365,227,682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,667,492,441.50 : 47,109,023,265 = 47,109,023,265 : x
  2. Step 2: Convert to fraction form
    30,667,492,441.50/47,109,023,265 = 47,109,023,265/x
  3. Step 3: Cross multiply
    30,667,492,441.50x = 47,109,023,265 × 47,109,023,265
  4. Step 4: Simplify right side
    30,667,492,441.50x = 2,219,260,072,982,311,337,984
  5. Step 5: Solve for x
    x = 2,219,260,072,982,311,337,984/30,667,492,441.50
  6. Step 6: Final answer
    x = 72,365,227,682.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.