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Finding the Third Proportional to 439,653,321,552 and 952,311,586,064

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Solution

The third proportional to 439,653,321,552 and 952,311,586,064 is: 2,062,755,613,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,653,321,552 : 952,311,586,064 = 952,311,586,064 : x
  2. Step 2: Convert to fraction form
    439,653,321,552/952,311,586,064 = 952,311,586,064/x
  3. Step 3: Cross multiply
    439,653,321,552x = 952,311,586,064 × 952,311,586,064
  4. Step 4: Simplify right side
    439,653,321,552x = 906,897,356,951,731,270,844,416
  5. Step 5: Solve for x
    x = 906,897,356,951,731,270,844,416/439,653,321,552
  6. Step 6: Final answer
    x = 2,062,755,613,332.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.