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Finding the Third Proportional to 74,764,188,765 and 160,867,747,323

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Solution

The third proportional to 74,764,188,765 and 160,867,747,323 is: 346,134,059,049.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,764,188,765 : 160,867,747,323 = 160,867,747,323 : x
  2. Step 2: Convert to fraction form
    74,764,188,765/160,867,747,323 = 160,867,747,323/x
  3. Step 3: Cross multiply
    74,764,188,765x = 160,867,747,323 × 160,867,747,323
  4. Step 4: Simplify right side
    74,764,188,765x = 25,878,432,128,776,573,812,736
  5. Step 5: Solve for x
    x = 25,878,432,128,776,573,812,736/74,764,188,765
  6. Step 6: Final answer
    x = 346,134,059,049.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.