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Finding the Third Proportional to 24,004,920 and 34,302,471

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Solution

The third proportional to 24,004,920 and 34,302,471 is: 49,017,431.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,004,920 : 34,302,471 = 34,302,471 : x
  2. Step 2: Convert to fraction form
    24,004,920/34,302,471 = 34,302,471/x
  3. Step 3: Cross multiply
    24,004,920x = 34,302,471 × 34,302,471
  4. Step 4: Simplify right side
    24,004,920x = 1,176,659,516,705,841
  5. Step 5: Solve for x
    x = 1,176,659,516,705,841/24,004,920
  6. Step 6: Final answer
    x = 49,017,431.29

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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.