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Finding the Third Proportional to 76,525,310,044 and 107,717,540,442

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Solution

The third proportional to 76,525,310,044 and 107,717,540,442 is: 151,623,933,469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,525,310,044 : 107,717,540,442 = 107,717,540,442 : x
  2. Step 2: Convert to fraction form
    76,525,310,044/107,717,540,442 = 107,717,540,442/x
  3. Step 3: Cross multiply
    76,525,310,044x = 107,717,540,442 × 107,717,540,442
  4. Step 4: Simplify right side
    76,525,310,044x = 11,603,068,518,873,906,020,352
  5. Step 5: Solve for x
    x = 11,603,068,518,873,906,020,352/76,525,310,044
  6. Step 6: Final answer
    x = 151,623,933,469.89

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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.