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Finding the Third Proportional to 4,825,304.16 and 7,522,816.78

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Solution

The third proportional to 4,825,304.16 and 7,522,816.78 is: 11,728,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825,304.16 : 7,522,816.78 = 7,522,816.78 : x
  2. Step 2: Convert to fraction form
    4,825,304.16/7,522,816.78 = 7,522,816.78/x
  3. Step 3: Cross multiply
    4,825,304.16x = 7,522,816.78 × 7,522,816.78
  4. Step 4: Simplify right side
    4,825,304.16x = 56,592,772,324,256.61
  5. Step 5: Solve for x
    x = 56,592,772,324,256.61/4,825,304.16
  6. Step 6: Final answer
    x = 11,728,332.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.