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Finding the Third Proportional to 331,583,971,417 and 509,353,545,648

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Solution

The third proportional to 331,583,971,417 and 509,353,545,648 is: 782,429,359,765.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,583,971,417 : 509,353,545,648 = 509,353,545,648 : x
  2. Step 2: Convert to fraction form
    331,583,971,417/509,353,545,648 = 509,353,545,648/x
  3. Step 3: Cross multiply
    331,583,971,417x = 509,353,545,648 × 509,353,545,648
  4. Step 4: Simplify right side
    331,583,971,417x = 259,441,034,464,189,235,593,216
  5. Step 5: Solve for x
    x = 259,441,034,464,189,235,593,216/331,583,971,417
  6. Step 6: Final answer
    x = 782,429,359,765.15

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Why These Related Problems?

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