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Finding the Third Proportional to 212,368,077,747 and 455,027,561,694

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Solution

The third proportional to 212,368,077,747 and 455,027,561,694 is: 974,958,591,224.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,368,077,747 : 455,027,561,694 = 455,027,561,694 : x
  2. Step 2: Convert to fraction form
    212,368,077,747/455,027,561,694 = 455,027,561,694/x
  3. Step 3: Cross multiply
    212,368,077,747x = 455,027,561,694 × 455,027,561,694
  4. Step 4: Simplify right side
    212,368,077,747x = 207,050,081,901,186,987,851,776
  5. Step 5: Solve for x
    x = 207,050,081,901,186,987,851,776/212,368,077,747
  6. Step 6: Final answer
    x = 974,958,591,224.11

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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.