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Finding the Third Proportional to 917,199,258,589 and 1,995,431,330,343

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Solution

The third proportional to 917,199,258,589 and 1,995,431,330,343 is: 4,341,200,842,486.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,199,258,589 : 1,995,431,330,343 = 1,995,431,330,343 : x
  2. Step 2: Convert to fraction form
    917,199,258,589/1,995,431,330,343 = 1,995,431,330,343/x
  3. Step 3: Cross multiply
    917,199,258,589x = 1,995,431,330,343 × 1,995,431,330,343
  4. Step 4: Simplify right side
    917,199,258,589x = 3,981,746,194,114,435,008,692,224
  5. Step 5: Solve for x
    x = 3,981,746,194,114,435,008,692,224/917,199,258,589
  6. Step 6: Final answer
    x = 4,341,200,842,486.36

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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.