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Finding the Third Proportional to 415,632,485.25 and 897,163,654.50

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Solution

The third proportional to 415,632,485.25 and 897,163,654.50 is: 1,936,572,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,632,485.25 : 897,163,654.50 = 897,163,654.50 : x
  2. Step 2: Convert to fraction form
    415,632,485.25/897,163,654.50 = 897,163,654.50/x
  3. Step 3: Cross multiply
    415,632,485.25x = 897,163,654.50 × 897,163,654.50
  4. Step 4: Simplify right side
    415,632,485.25x = 804,902,622,955,795,328
  5. Step 5: Solve for x
    x = 804,902,622,955,795,328/415,632,485.25
  6. Step 6: Final answer
    x = 1,936,572,937.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.