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Finding the Third Proportional to 6,169,840 and 13,286,840

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Solution

The third proportional to 6,169,840 and 13,286,840 is: 28,613,402.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169,840 : 13,286,840 = 13,286,840 : x
  2. Step 2: Convert to fraction form
    6,169,840/13,286,840 = 13,286,840/x
  3. Step 3: Cross multiply
    6,169,840x = 13,286,840 × 13,286,840
  4. Step 4: Simplify right side
    6,169,840x = 176,540,117,185,600
  5. Step 5: Solve for x
    x = 176,540,117,185,600/6,169,840
  6. Step 6: Final answer
    x = 28,613,402.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.