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Finding the Third Proportional to 917,199,258,665 and 1,995,431,330,489

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Solution

The third proportional to 917,199,258,665 and 1,995,431,330,489 is: 4,341,200,842,761.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,199,258,665 : 1,995,431,330,489 = 1,995,431,330,489 : x
  2. Step 2: Convert to fraction form
    917,199,258,665/1,995,431,330,489 = 1,995,431,330,489/x
  3. Step 3: Cross multiply
    917,199,258,665x = 1,995,431,330,489 × 1,995,431,330,489
  4. Step 4: Simplify right side
    917,199,258,665x = 3,981,746,194,697,100,472,614,912
  5. Step 5: Solve for x
    x = 3,981,746,194,697,100,472,614,912/917,199,258,665
  6. Step 6: Final answer
    x = 4,341,200,842,761.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.