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Finding the Third Proportional to 404,106,138 and 872,877,474

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Solution

The third proportional to 404,106,138 and 872,877,474 is: 1,885,433,090.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,106,138 : 872,877,474 = 872,877,474 : x
  2. Step 2: Convert to fraction form
    404,106,138/872,877,474 = 872,877,474/x
  3. Step 3: Cross multiply
    404,106,138x = 872,877,474 × 872,877,474
  4. Step 4: Simplify right side
    404,106,138x = 761,915,084,616,620,672
  5. Step 5: Solve for x
    x = 761,915,084,616,620,672/404,106,138
  6. Step 6: Final answer
    x = 1,885,433,090.39

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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.