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Finding the Third Proportional to 4,123,461 and 8,529,774

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Solution

The third proportional to 4,123,461 and 8,529,774 is: 17,644,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123,461 : 8,529,774 = 8,529,774 : x
  2. Step 2: Convert to fraction form
    4,123,461/8,529,774 = 8,529,774/x
  3. Step 3: Cross multiply
    4,123,461x = 8,529,774 × 8,529,774
  4. Step 4: Simplify right side
    4,123,461x = 72,757,044,491,076
  5. Step 5: Solve for x
    x = 72,757,044,491,076/4,123,461
  6. Step 6: Final answer
    x = 17,644,654.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.