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Finding the Third Proportional to 3,849,480,982,238 and 8,157,909,961,258

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Solution

The third proportional to 3,849,480,982,238 and 8,157,909,961,258 is: 17,288,433,231,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849,480,982,238 : 8,157,909,961,258 = 8,157,909,961,258 : x
  2. Step 2: Convert to fraction form
    3,849,480,982,238/8,157,909,961,258 = 8,157,909,961,258/x
  3. Step 3: Cross multiply
    3,849,480,982,238x = 8,157,909,961,258 × 8,157,909,961,258
  4. Step 4: Simplify right side
    3,849,480,982,238x = 66,551,494,935,992,504,659,476,480
  5. Step 5: Solve for x
    x = 66,551,494,935,992,504,659,476,480/3,849,480,982,238
  6. Step 6: Final answer
    x = 17,288,433,231,147.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.