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Finding the Third Proportional to 31,346,082 and 48,416,607.75

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Solution

The third proportional to 31,346,082 and 48,416,607.75 is: 74,783,442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,346,082 : 48,416,607.75 = 48,416,607.75 : x
  2. Step 2: Convert to fraction form
    31,346,082/48,416,607.75 = 48,416,607.75/x
  3. Step 3: Cross multiply
    31,346,082x = 48,416,607.75 × 48,416,607.75
  4. Step 4: Simplify right side
    31,346,082x = 2,344,167,906,017,360
  5. Step 5: Solve for x
    x = 2,344,167,906,017,360/31,346,082
  6. Step 6: Final answer
    x = 74,783,442.03

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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.