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Finding the Third Proportional to 7,669,446.75 and 12,209,492.25

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Solution

The third proportional to 7,669,446.75 and 12,209,492.25 is: 19,437,086.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669,446.75 : 12,209,492.25 = 12,209,492.25 : x
  2. Step 2: Convert to fraction form
    7,669,446.75/12,209,492.25 = 12,209,492.25/x
  3. Step 3: Cross multiply
    7,669,446.75x = 12,209,492.25 × 12,209,492.25
  4. Step 4: Simplify right side
    7,669,446.75x = 149,071,701,002,810.06
  5. Step 5: Solve for x
    x = 149,071,701,002,810.06/7,669,446.75
  6. Step 6: Final answer
    x = 19,437,086.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.