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Finding the Third Proportional to 6,344,006 and 10,214,784

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Solution

The third proportional to 6,344,006 and 10,214,784 is: 16,447,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344,006 : 10,214,784 = 10,214,784 : x
  2. Step 2: Convert to fraction form
    6,344,006/10,214,784 = 10,214,784/x
  3. Step 3: Cross multiply
    6,344,006x = 10,214,784 × 10,214,784
  4. Step 4: Simplify right side
    6,344,006x = 104,341,812,166,656
  5. Step 5: Solve for x
    x = 104,341,812,166,656/6,344,006
  6. Step 6: Final answer
    x = 16,447,306.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.