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Finding the Third Proportional to 235,911,989,176 and 519,910,354,652

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Solution

The third proportional to 235,911,989,176 and 519,910,354,652 is: 1,145,794,996,763.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,911,989,176 : 519,910,354,652 = 519,910,354,652 : x
  2. Step 2: Convert to fraction form
    235,911,989,176/519,910,354,652 = 519,910,354,652/x
  3. Step 3: Cross multiply
    235,911,989,176x = 519,910,354,652 × 519,910,354,652
  4. Step 4: Simplify right side
    235,911,989,176x = 270,306,776,874,368,402,194,432
  5. Step 5: Solve for x
    x = 270,306,776,874,368,402,194,432/235,911,989,176
  6. Step 6: Final answer
    x = 1,145,794,996,763.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.