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Finding the Third Proportional to 9,716,958,372,528 and 20,238,183,650,376

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Solution

The third proportional to 9,716,958,372,528 and 20,238,183,650,376 is: 42,151,469,808,117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716,958,372,528 : 20,238,183,650,376 = 20,238,183,650,376 : x
  2. Step 2: Convert to fraction form
    9,716,958,372,528/20,238,183,650,376 = 20,238,183,650,376/x
  3. Step 3: Cross multiply
    9,716,958,372,528x = 20,238,183,650,376 × 20,238,183,650,376
  4. Step 4: Simplify right side
    9,716,958,372,528x = 409,584,077,466,346,434,739,568,640
  5. Step 5: Solve for x
    x = 409,584,077,466,346,434,739,568,640/9,716,958,372,528
  6. Step 6: Final answer
    x = 42,151,469,808,117.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.