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Finding the Third Proportional to 6,734,137.50 and 14,727,987

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Solution

The third proportional to 6,734,137.50 and 14,727,987 is: 32,211,044.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734,137.50 : 14,727,987 = 14,727,987 : x
  2. Step 2: Convert to fraction form
    6,734,137.50/14,727,987 = 14,727,987/x
  3. Step 3: Cross multiply
    6,734,137.50x = 14,727,987 × 14,727,987
  4. Step 4: Simplify right side
    6,734,137.50x = 216,913,601,072,169
  5. Step 5: Solve for x
    x = 216,913,601,072,169/6,734,137.50
  6. Step 6: Final answer
    x = 32,211,044.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.