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Finding the Third Proportional to 48,452,232 and 74,474,416.50

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Solution

The third proportional to 48,452,232 and 74,474,416.50 is: 114,472,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,452,232 : 74,474,416.50 = 74,474,416.50 : x
  2. Step 2: Convert to fraction form
    48,452,232/74,474,416.50 = 74,474,416.50/x
  3. Step 3: Cross multiply
    48,452,232x = 74,474,416.50 × 74,474,416.50
  4. Step 4: Simplify right side
    48,452,232x = 5,546,438,713,015,472
  5. Step 5: Solve for x
    x = 5,546,438,713,015,472/48,452,232
  6. Step 6: Final answer
    x = 114,472,305.69

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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.