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Finding the Third Proportional to 6,099,428 and 12,827,876

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Solution

The third proportional to 6,099,428 and 12,827,876 is: 26,978,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099,428 : 12,827,876 = 12,827,876 : x
  2. Step 2: Convert to fraction form
    6,099,428/12,827,876 = 12,827,876/x
  3. Step 3: Cross multiply
    6,099,428x = 12,827,876 × 12,827,876
  4. Step 4: Simplify right side
    6,099,428x = 164,554,402,671,376
  5. Step 5: Solve for x
    x = 164,554,402,671,376/6,099,428
  6. Step 6: Final answer
    x = 26,978,661.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.