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Finding the Third Proportional to 76,582,258,956 and 117,639,726,354

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Solution

The third proportional to 76,582,258,956 and 117,639,726,354 is: 180,709,023,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,582,258,956 : 117,639,726,354 = 117,639,726,354 : x
  2. Step 2: Convert to fraction form
    76,582,258,956/117,639,726,354 = 117,639,726,354/x
  3. Step 3: Cross multiply
    76,582,258,956x = 117,639,726,354 × 117,639,726,354
  4. Step 4: Simplify right side
    76,582,258,956x = 13,839,105,216,644,003,135,488
  5. Step 5: Solve for x
    x = 13,839,105,216,644,003,135,488/76,582,258,956
  6. Step 6: Final answer
    x = 180,709,023,281.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.