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Finding the Third Proportional to 240,022,692 and 523,656,544

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Solution

The third proportional to 240,022,692 and 523,656,544 is: 1,142,459,380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,022,692 : 523,656,544 = 523,656,544 : x
  2. Step 2: Convert to fraction form
    240,022,692/523,656,544 = 523,656,544/x
  3. Step 3: Cross multiply
    240,022,692x = 523,656,544 × 523,656,544
  4. Step 4: Simplify right side
    240,022,692x = 274,216,176,074,023,936
  5. Step 5: Solve for x
    x = 274,216,176,074,023,936/240,022,692
  6. Step 6: Final answer
    x = 1,142,459,380.77

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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.