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Finding the Third Proportional to 76,525,310,050 and 107,717,540,451

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Solution

The third proportional to 76,525,310,050 and 107,717,540,451 is: 151,623,933,483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,525,310,050 : 107,717,540,451 = 107,717,540,451 : x
  2. Step 2: Convert to fraction form
    76,525,310,050/107,717,540,451 = 107,717,540,451/x
  3. Step 3: Cross multiply
    76,525,310,050x = 107,717,540,451 × 107,717,540,451
  4. Step 4: Simplify right side
    76,525,310,050x = 11,603,068,520,812,821,610,496
  5. Step 5: Solve for x
    x = 11,603,068,520,812,821,610,496/76,525,310,050
  6. Step 6: Final answer
    x = 151,623,933,483.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.