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Finding the Third Proportional to 34,241,032 and 75,864,890

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Solution

The third proportional to 34,241,032 and 75,864,890 is: 168,087,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,241,032 : 75,864,890 = 75,864,890 : x
  2. Step 2: Convert to fraction form
    34,241,032/75,864,890 = 75,864,890/x
  3. Step 3: Cross multiply
    34,241,032x = 75,864,890 × 75,864,890
  4. Step 4: Simplify right side
    34,241,032x = 5,755,481,534,712,100
  5. Step 5: Solve for x
    x = 5,755,481,534,712,100/34,241,032
  6. Step 6: Final answer
    x = 168,087,268.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.