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Finding the Third Proportional to 31,346,077 and 48,416,599.50

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Solution

The third proportional to 31,346,077 and 48,416,599.50 is: 74,783,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,346,077 : 48,416,599.50 = 48,416,599.50 : x
  2. Step 2: Convert to fraction form
    31,346,077/48,416,599.50 = 48,416,599.50/x
  3. Step 3: Cross multiply
    31,346,077x = 48,416,599.50 × 48,416,599.50
  4. Step 4: Simplify right side
    31,346,077x = 2,344,167,107,143,400
  5. Step 5: Solve for x
    x = 2,344,167,107,143,400/31,346,077
  6. Step 6: Final answer
    x = 74,783,428.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.