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Finding the Third Proportional to 33,512,092,528 and 49,977,525,840

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Solution

The third proportional to 33,512,092,528 and 49,977,525,840 is: 74,532,889,493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,512,092,528 : 49,977,525,840 = 49,977,525,840 : x
  2. Step 2: Convert to fraction form
    33,512,092,528/49,977,525,840 = 49,977,525,840/x
  3. Step 3: Cross multiply
    33,512,092,528x = 49,977,525,840 × 49,977,525,840
  4. Step 4: Simplify right side
    33,512,092,528x = 2,497,753,089,087,867,715,584
  5. Step 5: Solve for x
    x = 2,497,753,089,087,867,715,584/33,512,092,528
  6. Step 6: Final answer
    x = 74,532,889,493.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.