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Finding the Third Proportional to 3,037,740 and 6,681,816

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Solution

The third proportional to 3,037,740 and 6,681,816 is: 14,697,329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037,740 : 6,681,816 = 6,681,816 : x
  2. Step 2: Convert to fraction form
    3,037,740/6,681,816 = 6,681,816/x
  3. Step 3: Cross multiply
    3,037,740x = 6,681,816 × 6,681,816
  4. Step 4: Simplify right side
    3,037,740x = 44,646,665,057,856
  5. Step 5: Solve for x
    x = 44,646,665,057,856/3,037,740
  6. Step 6: Final answer
    x = 14,697,329.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.