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Finding the Third Proportional to 75,503,820 and 165,413,772

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Solution

The third proportional to 75,503,820 and 165,413,772 is: 362,388,498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,503,820 : 165,413,772 = 165,413,772 : x
  2. Step 2: Convert to fraction form
    75,503,820/165,413,772 = 165,413,772/x
  3. Step 3: Cross multiply
    75,503,820x = 165,413,772 × 165,413,772
  4. Step 4: Simplify right side
    75,503,820x = 27,361,715,967,267,984
  5. Step 5: Solve for x
    x = 27,361,715,967,267,984/75,503,820
  6. Step 6: Final answer
    x = 362,388,498.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.