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Finding the Third Proportional to 705,155,270,400 and 1,510,910,200,320

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Solution

The third proportional to 705,155,270,400 and 1,510,910,200,320 is: 3,237,371,582,199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,155,270,400 : 1,510,910,200,320 = 1,510,910,200,320 : x
  2. Step 2: Convert to fraction form
    705,155,270,400/1,510,910,200,320 = 1,510,910,200,320/x
  3. Step 3: Cross multiply
    705,155,270,400x = 1,510,910,200,320 × 1,510,910,200,320
  4. Step 4: Simplify right side
    705,155,270,400x = 2,282,849,633,431,022,521,548,800
  5. Step 5: Solve for x
    x = 2,282,849,633,431,022,521,548,800/705,155,270,400
  6. Step 6: Final answer
    x = 3,237,371,582,199.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.