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Finding the Third Proportional to 31,745,670 and 44,705,110.50

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Solution

The third proportional to 31,745,670 and 44,705,110.50 is: 62,954,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745,670 : 44,705,110.50 = 44,705,110.50 : x
  2. Step 2: Convert to fraction form
    31,745,670/44,705,110.50 = 44,705,110.50/x
  3. Step 3: Cross multiply
    31,745,670x = 44,705,110.50 × 44,705,110.50
  4. Step 4: Simplify right side
    31,745,670x = 1,998,546,904,817,210.25
  5. Step 5: Solve for x
    x = 1,998,546,904,817,210.25/31,745,670
  6. Step 6: Final answer
    x = 62,954,944.87

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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.