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Finding the Third Proportional to 1,597,383,325,712 and 3,239,215,708,342

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Solution

The third proportional to 1,597,383,325,712 and 3,239,215,708,342 is: 6,568,566,377,449.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597,383,325,712 : 3,239,215,708,342 = 3,239,215,708,342 : x
  2. Step 2: Convert to fraction form
    1,597,383,325,712/3,239,215,708,342 = 3,239,215,708,342/x
  3. Step 3: Cross multiply
    1,597,383,325,712x = 3,239,215,708,342 × 3,239,215,708,342
  4. Step 4: Simplify right side
    1,597,383,325,712x = 10,492,518,405,169,565,176,692,736
  5. Step 5: Solve for x
    x = 10,492,518,405,169,565,176,692,736/1,597,383,325,712
  6. Step 6: Final answer
    x = 6,568,566,377,449.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.