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Finding the Third Proportional to 4,253,384.25 and 6,537,753

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Solution

The third proportional to 4,253,384.25 and 6,537,753 is: 10,048,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253,384.25 : 6,537,753 = 6,537,753 : x
  2. Step 2: Convert to fraction form
    4,253,384.25/6,537,753 = 6,537,753/x
  3. Step 3: Cross multiply
    4,253,384.25x = 6,537,753 × 6,537,753
  4. Step 4: Simplify right side
    4,253,384.25x = 42,742,214,289,009
  5. Step 5: Solve for x
    x = 42,742,214,289,009/4,253,384.25
  6. Step 6: Final answer
    x = 10,048,989.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.