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Finding the Third Proportional to 7,951,452,334 and 17,299,155,451

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Solution

The third proportional to 7,951,452,334 and 17,299,155,451 is: 37,635,989,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951,452,334 : 17,299,155,451 = 17,299,155,451 : x
  2. Step 2: Convert to fraction form
    7,951,452,334/17,299,155,451 = 17,299,155,451/x
  3. Step 3: Cross multiply
    7,951,452,334x = 17,299,155,451 × 17,299,155,451
  4. Step 4: Simplify right side
    7,951,452,334x = 299,260,779,317,862,989,824
  5. Step 5: Solve for x
    x = 299,260,779,317,862,989,824/7,951,452,334
  6. Step 6: Final answer
    x = 37,635,989,847.82

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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.