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Finding the Third Proportional to 240,022,736 and 523,656,614

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Solution

The third proportional to 240,022,736 and 523,656,614 is: 1,142,459,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,022,736 : 523,656,614 = 523,656,614 : x
  2. Step 2: Convert to fraction form
    240,022,736/523,656,614 = 523,656,614/x
  3. Step 3: Cross multiply
    240,022,736x = 523,656,614 × 523,656,614
  4. Step 4: Simplify right side
    240,022,736x = 274,216,249,385,944,992
  5. Step 5: Solve for x
    x = 274,216,249,385,944,992/240,022,736
  6. Step 6: Final answer
    x = 1,142,459,476.78

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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.