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Finding the Third Proportional to 212,368,077,752 and 455,027,561,704

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Solution

The third proportional to 212,368,077,752 and 455,027,561,704 is: 974,958,591,244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,368,077,752 : 455,027,561,704 = 455,027,561,704 : x
  2. Step 2: Convert to fraction form
    212,368,077,752/455,027,561,704 = 455,027,561,704/x
  3. Step 3: Cross multiply
    212,368,077,752x = 455,027,561,704 × 455,027,561,704
  4. Step 4: Simplify right side
    212,368,077,752x = 207,050,081,910,287,520,235,520
  5. Step 5: Solve for x
    x = 207,050,081,910,287,520,235,520/212,368,077,752
  6. Step 6: Final answer
    x = 974,958,591,244.01

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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.