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Finding the Third Proportional to 6,310,665 and 13,614,066

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Solution

The third proportional to 6,310,665 and 13,614,066 is: 29,369,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310,665 : 13,614,066 = 13,614,066 : x
  2. Step 2: Convert to fraction form
    6,310,665/13,614,066 = 13,614,066/x
  3. Step 3: Cross multiply
    6,310,665x = 13,614,066 × 13,614,066
  4. Step 4: Simplify right side
    6,310,665x = 185,342,793,052,356
  5. Step 5: Solve for x
    x = 185,342,793,052,356/6,310,665
  6. Step 6: Final answer
    x = 29,369,772.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.