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Finding the Third Proportional to 4,567,117.50 and 9,947,907

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Solution

The third proportional to 4,567,117.50 and 9,947,907 is: 21,668,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567,117.50 : 9,947,907 = 9,947,907 : x
  2. Step 2: Convert to fraction form
    4,567,117.50/9,947,907 = 9,947,907/x
  3. Step 3: Cross multiply
    4,567,117.50x = 9,947,907 × 9,947,907
  4. Step 4: Simplify right side
    4,567,117.50x = 98,960,853,680,649
  5. Step 5: Solve for x
    x = 98,960,853,680,649/4,567,117.50
  6. Step 6: Final answer
    x = 21,668,120.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.