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Finding the Third Proportional to 37,933,148 and 54,205,646

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Solution

The third proportional to 37,933,148 and 54,205,646 is: 77,458,692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,933,148 : 54,205,646 = 54,205,646 : x
  2. Step 2: Convert to fraction form
    37,933,148/54,205,646 = 54,205,646/x
  3. Step 3: Cross multiply
    37,933,148x = 54,205,646 × 54,205,646
  4. Step 4: Simplify right side
    37,933,148x = 2,938,252,058,277,316
  5. Step 5: Solve for x
    x = 2,938,252,058,277,316/37,933,148
  6. Step 6: Final answer
    x = 77,458,692.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.