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Finding the Third Proportional to 6,094,720 and 12,999,424

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Solution

The third proportional to 6,094,720 and 12,999,424 is: 27,726,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094,720 : 12,999,424 = 12,999,424 : x
  2. Step 2: Convert to fraction form
    6,094,720/12,999,424 = 12,999,424/x
  3. Step 3: Cross multiply
    6,094,720x = 12,999,424 × 12,999,424
  4. Step 4: Simplify right side
    6,094,720x = 168,985,024,331,776
  5. Step 5: Solve for x
    x = 168,985,024,331,776/6,094,720
  6. Step 6: Final answer
    x = 27,726,462.30

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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.