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Finding the Third Proportional to 42,405,738 and 92,320,472

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Solution

The third proportional to 42,405,738 and 92,320,472 is: 200,988,591.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,405,738 : 92,320,472 = 92,320,472 : x
  2. Step 2: Convert to fraction form
    42,405,738/92,320,472 = 92,320,472/x
  3. Step 3: Cross multiply
    42,405,738x = 92,320,472 × 92,320,472
  4. Step 4: Simplify right side
    42,405,738x = 8,523,069,550,302,784
  5. Step 5: Solve for x
    x = 8,523,069,550,302,784/42,405,738
  6. Step 6: Final answer
    x = 200,988,591.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.