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Finding the Third Proportional to 6,815,023 and 10,227,523

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Solution

The third proportional to 6,815,023 and 10,227,523 is: 15,348,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815,023 : 10,227,523 = 10,227,523 : x
  2. Step 2: Convert to fraction form
    6,815,023/10,227,523 = 10,227,523/x
  3. Step 3: Cross multiply
    6,815,023x = 10,227,523 × 10,227,523
  4. Step 4: Simplify right side
    6,815,023x = 104,602,226,715,529
  5. Step 5: Solve for x
    x = 104,602,226,715,529/6,815,023
  6. Step 6: Final answer
    x = 15,348,770.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.