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Finding the Third Proportional to 31,194,114 and 48,492,286.50

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Solution

The third proportional to 31,194,114 and 48,492,286.50 is: 75,382,870.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194,114 : 48,492,286.50 = 48,492,286.50 : x
  2. Step 2: Convert to fraction form
    31,194,114/48,492,286.50 = 48,492,286.50/x
  3. Step 3: Cross multiply
    31,194,114x = 48,492,286.50 × 48,492,286.50
  4. Step 4: Simplify right side
    31,194,114x = 2,351,501,849,998,082
  5. Step 5: Solve for x
    x = 2,351,501,849,998,082/31,194,114
  6. Step 6: Final answer
    x = 75,382,870.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.