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Finding the Third Proportional to 493,684,309.13 and 676,961,133.75

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Solution

The third proportional to 493,684,309.13 and 676,961,133.75 is: 928,278,189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,684,309.13 : 676,961,133.75 = 676,961,133.75 : x
  2. Step 2: Convert to fraction form
    493,684,309.13/676,961,133.75 = 676,961,133.75/x
  3. Step 3: Cross multiply
    493,684,309.13x = 676,961,133.75 × 676,961,133.75
  4. Step 4: Simplify right side
    493,684,309.13x = 458,276,376,608,085,376
  5. Step 5: Solve for x
    x = 458,276,376,608,085,376/493,684,309.13
  6. Step 6: Final answer
    x = 928,278,189.40

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.