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Finding the Third Proportional to 233,575,759 and 551,377,601

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Solution

The third proportional to 233,575,759 and 551,377,601 is: 1,301,578,811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,575,759 : 551,377,601 = 551,377,601 : x
  2. Step 2: Convert to fraction form
    233,575,759/551,377,601 = 551,377,601/x
  3. Step 3: Cross multiply
    233,575,759x = 551,377,601 × 551,377,601
  4. Step 4: Simplify right side
    233,575,759x = 304,017,258,884,515,200
  5. Step 5: Solve for x
    x = 304,017,258,884,515,200/233,575,759
  6. Step 6: Final answer
    x = 1,301,578,811.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.