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Finding the Third Proportional to 7,719,814 and 16,465,580

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Solution

The third proportional to 7,719,814 and 16,465,580 is: 35,119,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719,814 : 16,465,580 = 16,465,580 : x
  2. Step 2: Convert to fraction form
    7,719,814/16,465,580 = 16,465,580/x
  3. Step 3: Cross multiply
    7,719,814x = 16,465,580 × 16,465,580
  4. Step 4: Simplify right side
    7,719,814x = 271,115,324,736,400
  5. Step 5: Solve for x
    x = 271,115,324,736,400/7,719,814
  6. Step 6: Final answer
    x = 35,119,411.52

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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.