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Finding the Third Proportional to 34,127,210 and 48,288,956

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Solution

The third proportional to 34,127,210 and 48,288,956 is: 68,327,392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,127,210 : 48,288,956 = 48,288,956 : x
  2. Step 2: Convert to fraction form
    34,127,210/48,288,956 = 48,288,956/x
  3. Step 3: Cross multiply
    34,127,210x = 48,288,956 × 48,288,956
  4. Step 4: Simplify right side
    34,127,210x = 2,331,823,271,569,936
  5. Step 5: Solve for x
    x = 2,331,823,271,569,936/34,127,210
  6. Step 6: Final answer
    x = 68,327,392.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.