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Finding the Third Proportional to 917,199,258,648 and 1,995,431,330,455

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Solution

The third proportional to 917,199,258,648 and 1,995,431,330,455 is: 4,341,200,842,694.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,199,258,648 : 1,995,431,330,455 = 1,995,431,330,455 : x
  2. Step 2: Convert to fraction form
    917,199,258,648/1,995,431,330,455 = 1,995,431,330,455/x
  3. Step 3: Cross multiply
    917,199,258,648x = 1,995,431,330,455 × 1,995,431,330,455
  4. Step 4: Simplify right side
    917,199,258,648x = 3,981,746,194,561,411,181,445,120
  5. Step 5: Solve for x
    x = 3,981,746,194,561,411,181,445,120/917,199,258,648
  6. Step 6: Final answer
    x = 4,341,200,842,694.44

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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.