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Finding the Third Proportional to 10,578,930.75 and 14,617,680.75

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Solution

The third proportional to 10,578,930.75 and 14,617,680.75 is: 20,198,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578,930.75 : 14,617,680.75 = 14,617,680.75 : x
  2. Step 2: Convert to fraction form
    10,578,930.75/14,617,680.75 = 14,617,680.75/x
  3. Step 3: Cross multiply
    10,578,930.75x = 14,617,680.75 × 14,617,680.75
  4. Step 4: Simplify right side
    10,578,930.75x = 213,676,590,508,920.56
  5. Step 5: Solve for x
    x = 213,676,590,508,920.56/10,578,930.75
  6. Step 6: Final answer
    x = 20,198,316.40

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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.