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Finding the Third Proportional to 212,368,077,749 and 455,027,561,698

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Solution

The third proportional to 212,368,077,749 and 455,027,561,698 is: 974,958,591,232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,368,077,749 : 455,027,561,698 = 455,027,561,698 : x
  2. Step 2: Convert to fraction form
    212,368,077,749/455,027,561,698 = 455,027,561,698/x
  3. Step 3: Cross multiply
    212,368,077,749x = 455,027,561,698 × 455,027,561,698
  4. Step 4: Simplify right side
    212,368,077,749x = 207,050,081,904,827,207,516,160
  5. Step 5: Solve for x
    x = 207,050,081,904,827,207,516,160/212,368,077,749
  6. Step 6: Final answer
    x = 974,958,591,232.07

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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.