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Finding the Third Proportional to 3,008,238,832,730 and 6,607,454,288,242

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Solution

The third proportional to 3,008,238,832,730 and 6,607,454,288,242 is: 14,512,960,771,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008,238,832,730 : 6,607,454,288,242 = 6,607,454,288,242 : x
  2. Step 2: Convert to fraction form
    3,008,238,832,730/6,607,454,288,242 = 6,607,454,288,242/x
  3. Step 3: Cross multiply
    3,008,238,832,730x = 6,607,454,288,242 × 6,607,454,288,242
  4. Step 4: Simplify right side
    3,008,238,832,730x = 43,658,452,171,207,593,496,150,016
  5. Step 5: Solve for x
    x = 43,658,452,171,207,593,496,150,016/3,008,238,832,730
  6. Step 6: Final answer
    x = 14,512,960,771,664.27

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