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Finding the Third Proportional to 820,897,355.25 and 1,272,164,883.75

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Solution

The third proportional to 820,897,355.25 and 1,272,164,883.75 is: 1,971,505,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,897,355.25 : 1,272,164,883.75 = 1,272,164,883.75 : x
  2. Step 2: Convert to fraction form
    820,897,355.25/1,272,164,883.75 = 1,272,164,883.75/x
  3. Step 3: Cross multiply
    820,897,355.25x = 1,272,164,883.75 × 1,272,164,883.75
  4. Step 4: Simplify right side
    820,897,355.25x = 1,618,403,491,446,651,136
  5. Step 5: Solve for x
    x = 1,618,403,491,446,651,136/820,897,355.25
  6. Step 6: Final answer
    x = 1,971,505,305.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.