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Finding the Third Proportional to 20,598,794.25 and 31,163,304.75

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Solution

The third proportional to 20,598,794.25 and 31,163,304.75 is: 47,146,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,598,794.25 : 31,163,304.75 = 31,163,304.75 : x
  2. Step 2: Convert to fraction form
    20,598,794.25/31,163,304.75 = 31,163,304.75/x
  3. Step 3: Cross multiply
    20,598,794.25x = 31,163,304.75 × 31,163,304.75
  4. Step 4: Simplify right side
    20,598,794.25x = 971,151,562,941,372.50
  5. Step 5: Solve for x
    x = 971,151,562,941,372.50/20,598,794.25
  6. Step 6: Final answer
    x = 47,146,039.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.