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Finding the Third Proportional to 397,133,647.31 and 865,773,694.69

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Solution

The third proportional to 397,133,647.31 and 865,773,694.69 is: 1,887,435,364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,133,647.31 : 865,773,694.69 = 865,773,694.69 : x
  2. Step 2: Convert to fraction form
    397,133,647.31/865,773,694.69 = 865,773,694.69/x
  3. Step 3: Cross multiply
    397,133,647.31x = 865,773,694.69 × 865,773,694.69
  4. Step 4: Simplify right side
    397,133,647.31x = 749,564,090,412,844,416
  5. Step 5: Solve for x
    x = 749,564,090,412,844,416/397,133,647.31
  6. Step 6: Final answer
    x = 1,887,435,364.61

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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.