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Finding the Third Proportional to 397,133,645.25 and 865,773,689.25

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Solution

The third proportional to 397,133,645.25 and 865,773,689.25 is: 1,887,435,350.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,133,645.25 : 865,773,689.25 = 865,773,689.25 : x
  2. Step 2: Convert to fraction form
    397,133,645.25/865,773,689.25 = 865,773,689.25/x
  3. Step 3: Cross multiply
    397,133,645.25x = 865,773,689.25 × 865,773,689.25
  4. Step 4: Simplify right side
    397,133,645.25x = 749,564,080,997,555,584
  5. Step 5: Solve for x
    x = 749,564,080,997,555,584/397,133,645.25
  6. Step 6: Final answer
    x = 1,887,435,350.70

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Why These Related Problems?

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