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Finding the Third Proportional to 377,541,268,190 and 808,933,984,108

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Solution

The third proportional to 377,541,268,190 and 808,933,984,108 is: 1,733,252,086,009.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,541,268,190 : 808,933,984,108 = 808,933,984,108 : x
  2. Step 2: Convert to fraction form
    377,541,268,190/808,933,984,108 = 808,933,984,108/x
  3. Step 3: Cross multiply
    377,541,268,190x = 808,933,984,108 × 808,933,984,108
  4. Step 4: Simplify right side
    377,541,268,190x = 654,374,190,644,842,024,927,232
  5. Step 5: Solve for x
    x = 654,374,190,644,842,024,927,232/377,541,268,190
  6. Step 6: Final answer
    x = 1,733,252,086,009.11

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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.