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Finding the Third Proportional to 31,823,742.38 and 47,139,063.75

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Solution

The third proportional to 31,823,742.38 and 47,139,063.75 is: 69,824,953.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,823,742.38 : 47,139,063.75 = 47,139,063.75 : x
  2. Step 2: Convert to fraction form
    31,823,742.38/47,139,063.75 = 47,139,063.75/x
  3. Step 3: Cross multiply
    31,823,742.38x = 47,139,063.75 × 47,139,063.75
  4. Step 4: Simplify right side
    31,823,742.38x = 2,222,091,331,226,564
  5. Step 5: Solve for x
    x = 2,222,091,331,226,564/31,823,742.38
  6. Step 6: Final answer
    x = 69,824,953.49

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.