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Finding the Third Proportional to 3,429,660 and 7,314,816

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Solution

The third proportional to 3,429,660 and 7,314,816 is: 15,601,118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429,660 : 7,314,816 = 7,314,816 : x
  2. Step 2: Convert to fraction form
    3,429,660/7,314,816 = 7,314,816/x
  3. Step 3: Cross multiply
    3,429,660x = 7,314,816 × 7,314,816
  4. Step 4: Simplify right side
    3,429,660x = 53,506,533,113,856
  5. Step 5: Solve for x
    x = 53,506,533,113,856/3,429,660
  6. Step 6: Final answer
    x = 15,601,118.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.