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Finding the Third Proportional to 75,784,216,402 and 163,062,508,621

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Solution

The third proportional to 75,784,216,402 and 163,062,508,621 is: 350,856,457,718.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,784,216,402 : 163,062,508,621 = 163,062,508,621 : x
  2. Step 2: Convert to fraction form
    75,784,216,402/163,062,508,621 = 163,062,508,621/x
  3. Step 3: Cross multiply
    75,784,216,402x = 163,062,508,621 × 163,062,508,621
  4. Step 4: Simplify right side
    75,784,216,402x = 26,589,381,717,773,701,349,376
  5. Step 5: Solve for x
    x = 26,589,381,717,773,701,349,376/75,784,216,402
  6. Step 6: Final answer
    x = 350,856,457,718.44

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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.