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Finding the Third Proportional to 4,173,029 and 8,897,206

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Solution

The third proportional to 4,173,029 and 8,897,206 is: 18,969,500.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,173,029 : 8,897,206 = 8,897,206 : x
  2. Step 2: Convert to fraction form
    4,173,029/8,897,206 = 8,897,206/x
  3. Step 3: Cross multiply
    4,173,029x = 8,897,206 × 8,897,206
  4. Step 4: Simplify right side
    4,173,029x = 79,160,274,606,436
  5. Step 5: Solve for x
    x = 79,160,274,606,436/4,173,029
  6. Step 6: Final answer
    x = 18,969,500.24

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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.