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Finding the Third Proportional to 1,117,765,581,451 and 2,431,375,250,342

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Solution

The third proportional to 1,117,765,581,451 and 2,431,375,250,342 is: 5,288,752,584,689.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117,765,581,451 : 2,431,375,250,342 = 2,431,375,250,342 : x
  2. Step 2: Convert to fraction form
    1,117,765,581,451/2,431,375,250,342 = 2,431,375,250,342/x
  3. Step 3: Cross multiply
    1,117,765,581,451x = 2,431,375,250,342 × 2,431,375,250,342
  4. Step 4: Simplify right side
    1,117,765,581,451x = 5,911,585,607,975,622,917,750,784
  5. Step 5: Solve for x
    x = 5,911,585,607,975,622,917,750,784/1,117,765,581,451
  6. Step 6: Final answer
    x = 5,288,752,584,689.22

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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.