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Finding the Third Proportional to 6,310,672 and 13,614,080

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Solution

The third proportional to 6,310,672 and 13,614,080 is: 29,369,799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310,672 : 13,614,080 = 13,614,080 : x
  2. Step 2: Convert to fraction form
    6,310,672/13,614,080 = 13,614,080/x
  3. Step 3: Cross multiply
    6,310,672x = 13,614,080 × 13,614,080
  4. Step 4: Simplify right side
    6,310,672x = 185,343,174,246,400
  5. Step 5: Solve for x
    x = 185,343,174,246,400/6,310,672
  6. Step 6: Final answer
    x = 29,369,799.96

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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.