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Finding the Third Proportional to 9,952,512,822 and 21,382,027,056

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Solution

The third proportional to 9,952,512,822 and 21,382,027,056 is: 45,937,251,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952,512,822 : 21,382,027,056 = 21,382,027,056 : x
  2. Step 2: Convert to fraction form
    9,952,512,822/21,382,027,056 = 21,382,027,056/x
  3. Step 3: Cross multiply
    9,952,512,822x = 21,382,027,056 × 21,382,027,056
  4. Step 4: Simplify right side
    9,952,512,822x = 457,191,081,023,516,049,408
  5. Step 5: Solve for x
    x = 457,191,081,023,516,049,408/9,952,512,822
  6. Step 6: Final answer
    x = 45,937,251,144.54

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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.