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Finding the Third Proportional to 35,465,859 and 76,402,836

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Solution

The third proportional to 35,465,859 and 76,402,836 is: 164,591,906.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,465,859 : 76,402,836 = 76,402,836 : x
  2. Step 2: Convert to fraction form
    35,465,859/76,402,836 = 76,402,836/x
  3. Step 3: Cross multiply
    35,465,859x = 76,402,836 × 76,402,836
  4. Step 4: Simplify right side
    35,465,859x = 5,837,393,348,842,896
  5. Step 5: Solve for x
    x = 5,837,393,348,842,896/35,465,859
  6. Step 6: Final answer
    x = 164,591,906.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.