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Finding the Third Proportional to 7,633,076.25 and 16,461,861

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Solution

The third proportional to 7,633,076.25 and 16,461,861 is: 35,502,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633,076.25 : 16,461,861 = 16,461,861 : x
  2. Step 2: Convert to fraction form
    7,633,076.25/16,461,861 = 16,461,861/x
  3. Step 3: Cross multiply
    7,633,076.25x = 16,461,861 × 16,461,861
  4. Step 4: Simplify right side
    7,633,076.25x = 270,992,867,583,321
  5. Step 5: Solve for x
    x = 270,992,867,583,321/7,633,076.25
  6. Step 6: Final answer
    x = 35,502,444.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.