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Finding the Third Proportional to 42,169,660 and 65,165,740

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Solution

The third proportional to 42,169,660 and 65,165,740 is: 100,702,108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,169,660 : 65,165,740 = 65,165,740 : x
  2. Step 2: Convert to fraction form
    42,169,660/65,165,740 = 65,165,740/x
  3. Step 3: Cross multiply
    42,169,660x = 65,165,740 × 65,165,740
  4. Step 4: Simplify right side
    42,169,660x = 4,246,573,669,747,600
  5. Step 5: Solve for x
    x = 4,246,573,669,747,600/42,169,660
  6. Step 6: Final answer
    x = 100,702,108.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.