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Finding the Third Proportional to 42,405,734 and 92,320,465

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Solution

The third proportional to 42,405,734 and 92,320,465 is: 200,988,579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,405,734 : 92,320,465 = 92,320,465 : x
  2. Step 2: Convert to fraction form
    42,405,734/92,320,465 = 92,320,465/x
  3. Step 3: Cross multiply
    42,405,734x = 92,320,465 × 92,320,465
  4. Step 4: Simplify right side
    42,405,734x = 8,523,068,257,816,225
  5. Step 5: Solve for x
    x = 8,523,068,257,816,225/42,405,734
  6. Step 6: Final answer
    x = 200,988,579.94

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Why These Related Problems?

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