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Finding the Third Proportional to 1,608,671,451 and 3,471,288,486

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Solution

The third proportional to 1,608,671,451 and 3,471,288,486 is: 7,490,556,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608,671,451 : 3,471,288,486 = 3,471,288,486 : x
  2. Step 2: Convert to fraction form
    1,608,671,451/3,471,288,486 = 3,471,288,486/x
  3. Step 3: Cross multiply
    1,608,671,451x = 3,471,288,486 × 3,471,288,486
  4. Step 4: Simplify right side
    1,608,671,451x = 12,049,843,753,036,171,264
  5. Step 5: Solve for x
    x = 12,049,843,753,036,171,264/1,608,671,451
  6. Step 6: Final answer
    x = 7,490,556,101.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.