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Finding the Third Proportional to 10,578,925.50 and 14,617,671

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Solution

The third proportional to 10,578,925.50 and 14,617,671 is: 20,198,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578,925.50 : 14,617,671 = 14,617,671 : x
  2. Step 2: Convert to fraction form
    10,578,925.50/14,617,671 = 14,617,671/x
  3. Step 3: Cross multiply
    10,578,925.50x = 14,617,671 × 14,617,671
  4. Step 4: Simplify right side
    10,578,925.50x = 213,676,305,464,241
  5. Step 5: Solve for x
    x = 213,676,305,464,241/10,578,925.50
  6. Step 6: Final answer
    x = 20,198,299.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.