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Finding the Third Proportional to 404,335,032 and 873,229,008

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Solution

The third proportional to 404,335,032 and 873,229,008 is: 1,885,883,834.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,335,032 : 873,229,008 = 873,229,008 : x
  2. Step 2: Convert to fraction form
    404,335,032/873,229,008 = 873,229,008/x
  3. Step 3: Cross multiply
    404,335,032x = 873,229,008 × 873,229,008
  4. Step 4: Simplify right side
    404,335,032x = 762,528,900,412,664,064
  5. Step 5: Solve for x
    x = 762,528,900,412,664,064/404,335,032
  6. Step 6: Final answer
    x = 1,885,883,834.11

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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.