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Finding the Third Proportional to 397,133,646 and 865,773,690.75

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Solution

The third proportional to 397,133,646 and 865,773,690.75 is: 1,887,435,353.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,133,646 : 865,773,690.75 = 865,773,690.75 : x
  2. Step 2: Convert to fraction form
    397,133,646/865,773,690.75 = 865,773,690.75/x
  3. Step 3: Cross multiply
    397,133,646x = 865,773,690.75 × 865,773,690.75
  4. Step 4: Simplify right side
    397,133,646x = 749,564,083,594,876,672
  5. Step 5: Solve for x
    x = 749,564,083,594,876,672/397,133,646
  6. Step 6: Final answer
    x = 1,887,435,353.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.