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Finding the Third Proportional to 35,521,983 and 76,525,727.06

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Solution

The third proportional to 35,521,983 and 76,525,727.06 is: 164,860,922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,521,983 : 76,525,727.06 = 76,525,727.06 : x
  2. Step 2: Convert to fraction form
    35,521,983/76,525,727.06 = 76,525,727.06/x
  3. Step 3: Cross multiply
    35,521,983x = 76,525,727.06 × 76,525,727.06
  4. Step 4: Simplify right side
    35,521,983x = 5,856,186,902,444,245
  5. Step 5: Solve for x
    x = 5,856,186,902,444,245/35,521,983
  6. Step 6: Final answer
    x = 164,860,922.95

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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.