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Finding the Third Proportional to 397,133,645 and 865,773,691

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Solution

The third proportional to 397,133,645 and 865,773,691 is: 1,887,435,359.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,133,645 : 865,773,691 = 865,773,691 : x
  2. Step 2: Convert to fraction form
    397,133,645/865,773,691 = 865,773,691/x
  3. Step 3: Cross multiply
    397,133,645x = 865,773,691 × 865,773,691
  4. Step 4: Simplify right side
    397,133,645x = 749,564,084,027,763,456
  5. Step 5: Solve for x
    x = 749,564,084,027,763,456/397,133,645
  6. Step 6: Final answer
    x = 1,887,435,359.52

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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.