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Finding the Third Proportional to 9,438,900 and 14,332,336.50

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Solution

The third proportional to 9,438,900 and 14,332,336.50 is: 21,762,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438,900 : 14,332,336.50 = 14,332,336.50 : x
  2. Step 2: Convert to fraction form
    9,438,900/14,332,336.50 = 14,332,336.50/x
  3. Step 3: Cross multiply
    9,438,900x = 14,332,336.50 × 14,332,336.50
  4. Step 4: Simplify right side
    9,438,900x = 205,415,869,549,232.25
  5. Step 5: Solve for x
    x = 205,415,869,549,232.25/9,438,900
  6. Step 6: Final answer
    x = 21,762,691.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.