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Finding the Third Proportional to 331,584,005,983.50 and 509,353,595,797.52

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Solution

The third proportional to 331,584,005,983.50 and 509,353,595,797.52 is: 782,429,432,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,584,005,983.50 : 509,353,595,797.52 = 509,353,595,797.52 : x
  2. Step 2: Convert to fraction form
    331,584,005,983.50/509,353,595,797.52 = 509,353,595,797.52/x
  3. Step 3: Cross multiply
    331,584,005,983.50x = 509,353,595,797.52 × 509,353,595,797.52
  4. Step 4: Simplify right side
    331,584,005,983.50x = 259,441,085,551,863,417,274,368
  5. Step 5: Solve for x
    x = 259,441,085,551,863,417,274,368/331,584,005,983.50
  6. Step 6: Final answer
    x = 782,429,432,271.15

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1.5x scale

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.