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Finding the Third Proportional to 3,677,658,236,991 and 8,592,669,394,726.50

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Solution

The third proportional to 3,677,658,236,991 and 8,592,669,394,726.50 is: 20,076,353,638,417.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677,658,236,991 : 8,592,669,394,726.50 = 8,592,669,394,726.50 : x
  2. Step 2: Convert to fraction form
    3,677,658,236,991/8,592,669,394,726.50 = 8,592,669,394,726.50/x
  3. Step 3: Cross multiply
    3,677,658,236,991x = 8,592,669,394,726.50 × 8,592,669,394,726.50
  4. Step 4: Simplify right side
    3,677,658,236,991x = 73,833,967,327,069,475,056,910,336
  5. Step 5: Solve for x
    x = 73,833,967,327,069,475,056,910,336/3,677,658,236,991
  6. Step 6: Final answer
    x = 20,076,353,638,417.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.