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Finding the Third Proportional to 34,127,208 and 48,288,953.25

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Solution

The third proportional to 34,127,208 and 48,288,953.25 is: 68,327,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,127,208 : 48,288,953.25 = 48,288,953.25 : x
  2. Step 2: Convert to fraction form
    34,127,208/48,288,953.25 = 48,288,953.25/x
  3. Step 3: Cross multiply
    34,127,208x = 48,288,953.25 × 48,288,953.25
  4. Step 4: Simplify right side
    34,127,208x = 2,331,823,005,980,685.50
  5. Step 5: Solve for x
    x = 2,331,823,005,980,685.50/34,127,208
  6. Step 6: Final answer
    x = 68,327,388.69

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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.