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Finding the Third Proportional to 7,164,400.50 and 15,137,449.88

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Solution

The third proportional to 7,164,400.50 and 15,137,449.88 is: 31,983,470.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164,400.50 : 15,137,449.88 = 15,137,449.88 : x
  2. Step 2: Convert to fraction form
    7,164,400.50/15,137,449.88 = 15,137,449.88/x
  3. Step 3: Cross multiply
    7,164,400.50x = 15,137,449.88 × 15,137,449.88
  4. Step 4: Simplify right side
    7,164,400.50x = 229,142,388,718,137.50
  5. Step 5: Solve for x
    x = 229,142,388,718,137.50/7,164,400.50
  6. Step 6: Final answer
    x = 31,983,470.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.