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Finding the Third Proportional to 75,784,216,406 and 163,062,508,629

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Solution

The third proportional to 75,784,216,406 and 163,062,508,629 is: 350,856,457,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,784,216,406 : 163,062,508,629 = 163,062,508,629 : x
  2. Step 2: Convert to fraction form
    75,784,216,406/163,062,508,629 = 163,062,508,629/x
  3. Step 3: Cross multiply
    75,784,216,406x = 163,062,508,629 × 163,062,508,629
  4. Step 4: Simplify right side
    75,784,216,406x = 26,589,381,720,382,701,043,712
  5. Step 5: Solve for x
    x = 26,589,381,720,382,701,043,712/75,784,216,406
  6. Step 6: Final answer
    x = 350,856,457,734.35

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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.