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Finding the Third Proportional to 3,068,806.50 and 6,461,106.75

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Solution

The third proportional to 3,068,806.50 and 6,461,106.75 is: 13,603,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068,806.50 : 6,461,106.75 = 6,461,106.75 : x
  2. Step 2: Convert to fraction form
    3,068,806.50/6,461,106.75 = 6,461,106.75/x
  3. Step 3: Cross multiply
    3,068,806.50x = 6,461,106.75 × 6,461,106.75
  4. Step 4: Simplify right side
    3,068,806.50x = 41,745,900,434,895.56
  5. Step 5: Solve for x
    x = 41,745,900,434,895.56/3,068,806.50
  6. Step 6: Final answer
    x = 13,603,301.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.