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Finding the Third Proportional to 3,137,742 and 6,803,644

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Solution

The third proportional to 3,137,742 and 6,803,644 is: 14,752,510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137,742 : 6,803,644 = 6,803,644 : x
  2. Step 2: Convert to fraction form
    3,137,742/6,803,644 = 6,803,644/x
  3. Step 3: Cross multiply
    3,137,742x = 6,803,644 × 6,803,644
  4. Step 4: Simplify right side
    3,137,742x = 46,289,571,678,736
  5. Step 5: Solve for x
    x = 46,289,571,678,736/3,137,742
  6. Step 6: Final answer
    x = 14,752,510.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.