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Finding the Third Proportional to 3,384,412 and 7,386,178

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Solution

The third proportional to 3,384,412 and 7,386,178 is: 16,119,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384,412 : 7,386,178 = 7,386,178 : x
  2. Step 2: Convert to fraction form
    3,384,412/7,386,178 = 7,386,178/x
  3. Step 3: Cross multiply
    3,384,412x = 7,386,178 × 7,386,178
  4. Step 4: Simplify right side
    3,384,412x = 54,555,625,447,684
  5. Step 5: Solve for x
    x = 54,555,625,447,684/3,384,412
  6. Step 6: Final answer
    x = 16,119,676.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.