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Finding the Third Proportional to 212,368,077,468 and 455,027,561,244

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Solution

The third proportional to 212,368,077,468 and 455,027,561,244 is: 974,958,590,576.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,368,077,468 : 455,027,561,244 = 455,027,561,244 : x
  2. Step 2: Convert to fraction form
    212,368,077,468/455,027,561,244 = 455,027,561,244/x
  3. Step 3: Cross multiply
    212,368,077,468x = 455,027,561,244 × 455,027,561,244
  4. Step 4: Simplify right side
    212,368,077,468x = 207,050,081,491,662,158,168,064
  5. Step 5: Solve for x
    x = 207,050,081,491,662,158,168,064/212,368,077,468
  6. Step 6: Final answer
    x = 974,958,590,576.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.