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Finding the Third Proportional to 3,366,087 and 7,214,409

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Solution

The third proportional to 3,366,087 and 7,214,409 is: 15,462,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,366,087 : 7,214,409 = 7,214,409 : x
  2. Step 2: Convert to fraction form
    3,366,087/7,214,409 = 7,214,409/x
  3. Step 3: Cross multiply
    3,366,087x = 7,214,409 × 7,214,409
  4. Step 4: Simplify right side
    3,366,087x = 52,047,697,219,281
  5. Step 5: Solve for x
    x = 52,047,697,219,281/3,366,087
  6. Step 6: Final answer
    x = 15,462,374.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.