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Finding the Third Proportional to 6,613,713 and 14,172,201

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Solution

The third proportional to 6,613,713 and 14,172,201 is: 30,368,913.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613,713 : 14,172,201 = 14,172,201 : x
  2. Step 2: Convert to fraction form
    6,613,713/14,172,201 = 14,172,201/x
  3. Step 3: Cross multiply
    6,613,713x = 14,172,201 × 14,172,201
  4. Step 4: Simplify right side
    6,613,713x = 200,851,281,184,401
  5. Step 5: Solve for x
    x = 200,851,281,184,401/6,613,713
  6. Step 6: Final answer
    x = 30,368,913.98

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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.