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Finding the Third Proportional to 31,037,960.50 and 73,165,110.25

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Solution

The third proportional to 31,037,960.50 and 73,165,110.25 is: 172,470,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,037,960.50 : 73,165,110.25 = 73,165,110.25 : x
  2. Step 2: Convert to fraction form
    31,037,960.50/73,165,110.25 = 73,165,110.25/x
  3. Step 3: Cross multiply
    31,037,960.50x = 73,165,110.25 × 73,165,110.25
  4. Step 4: Simplify right side
    31,037,960.50x = 5,353,133,357,894,655
  5. Step 5: Solve for x
    x = 5,353,133,357,894,655/31,037,960.50
  6. Step 6: Final answer
    x = 172,470,525.50

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.