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Finding the Third Proportional to 7,300,253.25 and 16,899,613.88

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Solution

The third proportional to 7,300,253.25 and 16,899,613.88 is: 39,121,512.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300,253.25 : 16,899,613.88 = 16,899,613.88 : x
  2. Step 2: Convert to fraction form
    7,300,253.25/16,899,613.88 = 16,899,613.88/x
  3. Step 3: Cross multiply
    7,300,253.25x = 16,899,613.88 × 16,899,613.88
  4. Step 4: Simplify right side
    7,300,253.25x = 285,596,949,124,092.50
  5. Step 5: Solve for x
    x = 285,596,949,124,092.50/7,300,253.25
  6. Step 6: Final answer
    x = 39,121,512.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.