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Finding the Third Proportional to 34,127,214.50 and 48,288,956.50

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Solution

The third proportional to 34,127,214.50 and 48,288,956.50 is: 68,327,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,127,214.50 : 48,288,956.50 = 48,288,956.50 : x
  2. Step 2: Convert to fraction form
    34,127,214.50/48,288,956.50 = 48,288,956.50/x
  3. Step 3: Cross multiply
    34,127,214.50x = 48,288,956.50 × 48,288,956.50
  4. Step 4: Simplify right side
    34,127,214.50x = 2,331,823,319,858,892
  5. Step 5: Solve for x
    x = 2,331,823,319,858,892/34,127,214.50
  6. Step 6: Final answer
    x = 68,327,384.88

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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.