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Finding the Third Proportional to 917,199,258,642 and 1,995,431,330,444

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Solution

The third proportional to 917,199,258,642 and 1,995,431,330,444 is: 4,341,200,842,674.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,199,258,642 : 1,995,431,330,444 = 1,995,431,330,444 : x
  2. Step 2: Convert to fraction form
    917,199,258,642/1,995,431,330,444 = 1,995,431,330,444/x
  3. Step 3: Cross multiply
    917,199,258,642x = 1,995,431,330,444 × 1,995,431,330,444
  4. Step 4: Simplify right side
    917,199,258,642x = 3,981,746,194,517,511,783,841,792
  5. Step 5: Solve for x
    x = 3,981,746,194,517,511,783,841,792/917,199,258,642
  6. Step 6: Final answer
    x = 4,341,200,842,674.97

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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.