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Finding the Third Proportional to 212,368,077,751 and 455,027,561,702

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Solution

The third proportional to 212,368,077,751 and 455,027,561,702 is: 974,958,591,240.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,368,077,751 : 455,027,561,702 = 455,027,561,702 : x
  2. Step 2: Convert to fraction form
    212,368,077,751/455,027,561,702 = 455,027,561,702/x
  3. Step 3: Cross multiply
    212,368,077,751x = 455,027,561,702 × 455,027,561,702
  4. Step 4: Simplify right side
    212,368,077,751x = 207,050,081,908,467,427,180,544
  5. Step 5: Solve for x
    x = 207,050,081,908,467,427,180,544/212,368,077,751
  6. Step 6: Final answer
    x = 974,958,591,240.03

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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.