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Finding the Third Proportional to 377,623,054 and 583,204,504

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Solution

The third proportional to 377,623,054 and 583,204,504 is: 900,706,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,623,054 : 583,204,504 = 583,204,504 : x
  2. Step 2: Convert to fraction form
    377,623,054/583,204,504 = 583,204,504/x
  3. Step 3: Cross multiply
    377,623,054x = 583,204,504 × 583,204,504
  4. Step 4: Simplify right side
    377,623,054x = 340,127,493,485,886,016
  5. Step 5: Solve for x
    x = 340,127,493,485,886,016/377,623,054
  6. Step 6: Final answer
    x = 900,706,378.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.