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Finding the Third Proportional to 75,784,216,404 and 163,062,508,624

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Solution

The third proportional to 75,784,216,404 and 163,062,508,624 is: 350,856,457,722.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,784,216,404 : 163,062,508,624 = 163,062,508,624 : x
  2. Step 2: Convert to fraction form
    75,784,216,404/163,062,508,624 = 163,062,508,624/x
  3. Step 3: Cross multiply
    75,784,216,404x = 163,062,508,624 × 163,062,508,624
  4. Step 4: Simplify right side
    75,784,216,404x = 26,589,381,718,752,073,089,024
  5. Step 5: Solve for x
    x = 26,589,381,718,752,073,089,024/75,784,216,404
  6. Step 6: Final answer
    x = 350,856,457,722.09

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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.